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Finding the Third Proportional to 527,746 and 1,029,086

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Solution

The third proportional to 527,746 and 1,029,086 is: 2,006,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,746 : 1,029,086 = 1,029,086 : x
  2. Step 2: Convert to fraction form
    527,746/1,029,086 = 1,029,086/x
  3. Step 3: Cross multiply
    527,746x = 1,029,086 × 1,029,086
  4. Step 4: Simplify right side
    527,746x = 1,059,017,995,396
  5. Step 5: Solve for x
    x = 1,059,017,995,396/527,746
  6. Step 6: Final answer
    x = 2,006,681.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.