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Finding the Third Proportional to 658,700 and 1,417,264

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Solution

The third proportional to 658,700 and 1,417,264 is: 3,049,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,700 : 1,417,264 = 1,417,264 : x
  2. Step 2: Convert to fraction form
    658,700/1,417,264 = 1,417,264/x
  3. Step 3: Cross multiply
    658,700x = 1,417,264 × 1,417,264
  4. Step 4: Simplify right side
    658,700x = 2,008,637,245,696
  5. Step 5: Solve for x
    x = 2,008,637,245,696/658,700
  6. Step 6: Final answer
    x = 3,049,396.15

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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.