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Finding the Third Proportional to 527,670 and 1,275,423

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Solution

The third proportional to 527,670 and 1,275,423 is: 3,082,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,670 : 1,275,423 = 1,275,423 : x
  2. Step 2: Convert to fraction form
    527,670/1,275,423 = 1,275,423/x
  3. Step 3: Cross multiply
    527,670x = 1,275,423 × 1,275,423
  4. Step 4: Simplify right side
    527,670x = 1,626,703,828,929
  5. Step 5: Solve for x
    x = 1,626,703,828,929/527,670
  6. Step 6: Final answer
    x = 3,082,805.22

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.