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Finding the Third Proportional to 738,438 and 1,106,429

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Solution

The third proportional to 738,438 and 1,106,429 is: 1,657,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,438 : 1,106,429 = 1,106,429 : x
  2. Step 2: Convert to fraction form
    738,438/1,106,429 = 1,106,429/x
  3. Step 3: Cross multiply
    738,438x = 1,106,429 × 1,106,429
  4. Step 4: Simplify right side
    738,438x = 1,224,185,132,041
  5. Step 5: Solve for x
    x = 1,224,185,132,041/738,438
  6. Step 6: Final answer
    x = 1,657,803.54

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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.