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Finding the Third Proportional to 614,608 and 964,139

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Solution

The third proportional to 614,608 and 964,139 is: 1,512,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,608 : 964,139 = 964,139 : x
  2. Step 2: Convert to fraction form
    614,608/964,139 = 964,139/x
  3. Step 3: Cross multiply
    614,608x = 964,139 × 964,139
  4. Step 4: Simplify right side
    614,608x = 929,564,011,321
  5. Step 5: Solve for x
    x = 929,564,011,321/614,608
  6. Step 6: Final answer
    x = 1,512,450.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.