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Finding the Third Proportional to 658,314 and 1,416,528

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Solution

The third proportional to 658,314 and 1,416,528 is: 3,048,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,314 : 1,416,528 = 1,416,528 : x
  2. Step 2: Convert to fraction form
    658,314/1,416,528 = 1,416,528/x
  3. Step 3: Cross multiply
    658,314x = 1,416,528 × 1,416,528
  4. Step 4: Simplify right side
    658,314x = 2,006,551,574,784
  5. Step 5: Solve for x
    x = 2,006,551,574,784/658,314
  6. Step 6: Final answer
    x = 3,048,015.95

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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.