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Finding the Third Proportional to 560,988 and 1,234,140

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Solution

The third proportional to 560,988 and 1,234,140 is: 2,715,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,988 : 1,234,140 = 1,234,140 : x
  2. Step 2: Convert to fraction form
    560,988/1,234,140 = 1,234,140/x
  3. Step 3: Cross multiply
    560,988x = 1,234,140 × 1,234,140
  4. Step 4: Simplify right side
    560,988x = 1,523,101,539,600
  5. Step 5: Solve for x
    x = 1,523,101,539,600/560,988
  6. Step 6: Final answer
    x = 2,715,034.08

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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.