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Finding the Third Proportional to 551,638,872 and 822,674,610

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Solution

The third proportional to 551,638,872 and 822,674,610 is: 1,226,877,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,638,872 : 822,674,610 = 822,674,610 : x
  2. Step 2: Convert to fraction form
    551,638,872/822,674,610 = 822,674,610/x
  3. Step 3: Cross multiply
    551,638,872x = 822,674,610 × 822,674,610
  4. Step 4: Simplify right side
    551,638,872x = 676,793,513,938,652,160
  5. Step 5: Solve for x
    x = 676,793,513,938,652,160/551,638,872
  6. Step 6: Final answer
    x = 1,226,877,851.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.