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Finding the Third Proportional to 527,871 and 1,160,709

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Solution

The third proportional to 527,871 and 1,160,709 is: 2,552,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,871 : 1,160,709 = 1,160,709 : x
  2. Step 2: Convert to fraction form
    527,871/1,160,709 = 1,160,709/x
  3. Step 3: Cross multiply
    527,871x = 1,160,709 × 1,160,709
  4. Step 4: Simplify right side
    527,871x = 1,347,245,382,681
  5. Step 5: Solve for x
    x = 1,347,245,382,681/527,871
  6. Step 6: Final answer
    x = 2,552,224.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.