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Finding the Third Proportional to 551,639,376 and 822,675,312

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Solution

The third proportional to 551,639,376 and 822,675,312 is: 1,226,878,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,639,376 : 822,675,312 = 822,675,312 : x
  2. Step 2: Convert to fraction form
    551,639,376/822,675,312 = 822,675,312/x
  3. Step 3: Cross multiply
    551,639,376x = 822,675,312 × 822,675,312
  4. Step 4: Simplify right side
    551,639,376x = 676,794,668,974,297,344
  5. Step 5: Solve for x
    x = 676,794,668,974,297,344/551,639,376
  6. Step 6: Final answer
    x = 1,226,878,824.14

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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.