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Finding the Third Proportional to 712,239.19 and 1,559,557.69

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Solution

The third proportional to 712,239.19 and 1,559,557.69 is: 3,414,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,239.19 : 1,559,557.69 = 1,559,557.69 : x
  2. Step 2: Convert to fraction form
    712,239.19/1,559,557.69 = 1,559,557.69/x
  3. Step 3: Cross multiply
    712,239.19x = 1,559,557.69 × 1,559,557.69
  4. Step 4: Simplify right side
    712,239.19x = 2,432,220,180,640.35
  5. Step 5: Solve for x
    x = 2,432,220,180,640.35/712,239.19
  6. Step 6: Final answer
    x = 3,414,892.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.