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Finding the Third Proportional to 456,000,776 and 956,791,312

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Solution

The third proportional to 456,000,776 and 956,791,312 is: 2,007,561,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,000,776 : 956,791,312 = 956,791,312 : x
  2. Step 2: Convert to fraction form
    456,000,776/956,791,312 = 956,791,312/x
  3. Step 3: Cross multiply
    456,000,776x = 956,791,312 × 956,791,312
  4. Step 4: Simplify right side
    456,000,776x = 915,449,614,718,681,344
  5. Step 5: Solve for x
    x = 915,449,614,718,681,344/456,000,776
  6. Step 6: Final answer
    x = 2,007,561,528.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.