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Finding the Third Proportional to 980,416 and 1,498,688

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Solution

The third proportional to 980,416 and 1,498,688 is: 2,290,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,416 : 1,498,688 = 1,498,688 : x
  2. Step 2: Convert to fraction form
    980,416/1,498,688 = 1,498,688/x
  3. Step 3: Cross multiply
    980,416x = 1,498,688 × 1,498,688
  4. Step 4: Simplify right side
    980,416x = 2,246,065,721,344
  5. Step 5: Solve for x
    x = 2,246,065,721,344/980,416
  6. Step 6: Final answer
    x = 2,290,931.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.