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Finding the Third Proportional to 406,822,304 and 882,997,658

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Solution

The third proportional to 406,822,304 and 882,997,658 is: 1,916,524,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,822,304 : 882,997,658 = 882,997,658 : x
  2. Step 2: Convert to fraction form
    406,822,304/882,997,658 = 882,997,658/x
  3. Step 3: Cross multiply
    406,822,304x = 882,997,658 × 882,997,658
  4. Step 4: Simplify right side
    406,822,304x = 779,684,864,033,484,928
  5. Step 5: Solve for x
    x = 779,684,864,033,484,928/406,822,304
  6. Step 6: Final answer
    x = 1,916,524,380.22

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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.