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Finding the Third Proportional to 1,656,576.56 and 2,430,334.13

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Solution

The third proportional to 1,656,576.56 and 2,430,334.13 is: 3,565,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,576.56 : 2,430,334.13 = 2,430,334.13 : x
  2. Step 2: Convert to fraction form
    1,656,576.56/2,430,334.13 = 2,430,334.13/x
  3. Step 3: Cross multiply
    1,656,576.56x = 2,430,334.13 × 2,430,334.13
  4. Step 4: Simplify right side
    1,656,576.56x = 5,906,523,959,139.52
  5. Step 5: Solve for x
    x = 5,906,523,959,139.52/1,656,576.56
  6. Step 6: Final answer
    x = 3,565,500.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.