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Finding the Third Proportional to 406,822,265.86 and 882,997,582.22

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Solution

The third proportional to 406,822,265.86 and 882,997,582.22 is: 1,916,524,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,822,265.86 : 882,997,582.22 = 882,997,582.22 : x
  2. Step 2: Convert to fraction form
    406,822,265.86/882,997,582.22 = 882,997,582.22/x
  3. Step 3: Cross multiply
    406,822,265.86x = 882,997,582.22 × 882,997,582.22
  4. Step 4: Simplify right side
    406,822,265.86x = 779,684,730,204,158,208
  5. Step 5: Solve for x
    x = 779,684,730,204,158,208/406,822,265.86
  6. Step 6: Final answer
    x = 1,916,524,230.94

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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.