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Finding the Third Proportional to 601,470 and 1,299,708

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Solution

The third proportional to 601,470 and 1,299,708 is: 2,808,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,470 : 1,299,708 = 1,299,708 : x
  2. Step 2: Convert to fraction form
    601,470/1,299,708 = 1,299,708/x
  3. Step 3: Cross multiply
    601,470x = 1,299,708 × 1,299,708
  4. Step 4: Simplify right side
    601,470x = 1,689,240,885,264
  5. Step 5: Solve for x
    x = 1,689,240,885,264/601,470
  6. Step 6: Final answer
    x = 2,808,520.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.