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Finding the Third Proportional to 658,730 and 1,417,360

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Solution

The third proportional to 658,730 and 1,417,360 is: 3,049,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,730 : 1,417,360 = 1,417,360 : x
  2. Step 2: Convert to fraction form
    658,730/1,417,360 = 1,417,360/x
  3. Step 3: Cross multiply
    658,730x = 1,417,360 × 1,417,360
  4. Step 4: Simplify right side
    658,730x = 2,008,909,369,600
  5. Step 5: Solve for x
    x = 2,008,909,369,600/658,730
  6. Step 6: Final answer
    x = 3,049,670.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.