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Finding the Third Proportional to 406,152,583 and 618,751,882

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Solution

The third proportional to 406,152,583 and 618,751,882 is: 942,635,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,152,583 : 618,751,882 = 618,751,882 : x
  2. Step 2: Convert to fraction form
    406,152,583/618,751,882 = 618,751,882/x
  3. Step 3: Cross multiply
    406,152,583x = 618,751,882 × 618,751,882
  4. Step 4: Simplify right side
    406,152,583x = 382,853,891,478,541,952
  5. Step 5: Solve for x
    x = 382,853,891,478,541,952/406,152,583
  6. Step 6: Final answer
    x = 942,635,618.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.