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Finding the Third Proportional to 738,151 and 1,205,319

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Solution

The third proportional to 738,151 and 1,205,319 is: 1,968,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,151 : 1,205,319 = 1,205,319 : x
  2. Step 2: Convert to fraction form
    738,151/1,205,319 = 1,205,319/x
  3. Step 3: Cross multiply
    738,151x = 1,205,319 × 1,205,319
  4. Step 4: Simplify right side
    738,151x = 1,452,793,891,761
  5. Step 5: Solve for x
    x = 1,452,793,891,761/738,151
  6. Step 6: Final answer
    x = 1,968,152.71

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.