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Finding the Third Proportional to 616,884,528 and 822,420,936

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Solution

The third proportional to 616,884,528 and 822,420,936 is: 1,096,438,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,884,528 : 822,420,936 = 822,420,936 : x
  2. Step 2: Convert to fraction form
    616,884,528/822,420,936 = 822,420,936/x
  3. Step 3: Cross multiply
    616,884,528x = 822,420,936 × 822,420,936
  4. Step 4: Simplify right side
    616,884,528x = 676,376,195,971,116,032
  5. Step 5: Solve for x
    x = 676,376,195,971,116,032/616,884,528
  6. Step 6: Final answer
    x = 1,096,438,904.32

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.