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Finding the Third Proportional to 738,432 and 1,106,420

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Solution

The third proportional to 738,432 and 1,106,420 is: 1,657,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,432 : 1,106,420 = 1,106,420 : x
  2. Step 2: Convert to fraction form
    738,432/1,106,420 = 1,106,420/x
  3. Step 3: Cross multiply
    738,432x = 1,106,420 × 1,106,420
  4. Step 4: Simplify right side
    738,432x = 1,224,165,216,400
  5. Step 5: Solve for x
    x = 1,224,165,216,400/738,432
  6. Step 6: Final answer
    x = 1,657,790.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.