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Finding the Third Proportional to 527,127,849 and 771,287,778

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Solution

The third proportional to 527,127,849 and 771,287,778 is: 1,128,539,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,127,849 : 771,287,778 = 771,287,778 : x
  2. Step 2: Convert to fraction form
    527,127,849/771,287,778 = 771,287,778/x
  3. Step 3: Cross multiply
    527,127,849x = 771,287,778 × 771,287,778
  4. Step 4: Simplify right side
    527,127,849x = 594,884,836,492,177,280
  5. Step 5: Solve for x
    x = 594,884,836,492,177,280/527,127,849
  6. Step 6: Final answer
    x = 1,128,539,950.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.