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Finding the Third Proportional to 665,482 and 1,034,319

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Solution

The third proportional to 665,482 and 1,034,319 is: 1,607,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,482 : 1,034,319 = 1,034,319 : x
  2. Step 2: Convert to fraction form
    665,482/1,034,319 = 1,034,319/x
  3. Step 3: Cross multiply
    665,482x = 1,034,319 × 1,034,319
  4. Step 4: Simplify right side
    665,482x = 1,069,815,793,761
  5. Step 5: Solve for x
    x = 1,069,815,793,761/665,482
  6. Step 6: Final answer
    x = 1,607,580.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.