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Finding the Third Proportional to 738,448 and 1,106,440

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Solution

The third proportional to 738,448 and 1,106,440 is: 1,657,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,448 : 1,106,440 = 1,106,440 : x
  2. Step 2: Convert to fraction form
    738,448/1,106,440 = 1,106,440/x
  3. Step 3: Cross multiply
    738,448x = 1,106,440 × 1,106,440
  4. Step 4: Simplify right side
    738,448x = 1,224,209,473,600
  5. Step 5: Solve for x
    x = 1,224,209,473,600/738,448
  6. Step 6: Final answer
    x = 1,657,814.06

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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.