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Finding the Third Proportional to 527,127,906 and 771,287,853

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Solution

The third proportional to 527,127,906 and 771,287,853 is: 1,128,540,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,127,906 : 771,287,853 = 771,287,853 : x
  2. Step 2: Convert to fraction form
    527,127,906/771,287,853 = 771,287,853/x
  3. Step 3: Cross multiply
    527,127,906x = 771,287,853 × 771,287,853
  4. Step 4: Simplify right side
    527,127,906x = 594,884,952,185,349,632
  5. Step 5: Solve for x
    x = 594,884,952,185,349,632/527,127,906
  6. Step 6: Final answer
    x = 1,128,540,047.71

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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.