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Finding the Third Proportional to 406,822,313.81 and 882,997,655.06

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Solution

The third proportional to 406,822,313.81 and 882,997,655.06 is: 1,916,524,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,822,313.81 : 882,997,655.06 = 882,997,655.06 : x
  2. Step 2: Convert to fraction form
    406,822,313.81/882,997,655.06 = 882,997,655.06/x
  3. Step 3: Cross multiply
    406,822,313.81x = 882,997,655.06 × 882,997,655.06
  4. Step 4: Simplify right side
    406,822,313.81x = 779,684,858,845,873,792
  5. Step 5: Solve for x
    x = 779,684,858,845,873,792/406,822,313.81
  6. Step 6: Final answer
    x = 1,916,524,321.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.