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Finding the Third Proportional to 614,490 and 953,703

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Solution

The third proportional to 614,490 and 953,703 is: 1,480,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,490 : 953,703 = 953,703 : x
  2. Step 2: Convert to fraction form
    614,490/953,703 = 953,703/x
  3. Step 3: Cross multiply
    614,490x = 953,703 × 953,703
  4. Step 4: Simplify right side
    614,490x = 909,549,412,209
  5. Step 5: Solve for x
    x = 909,549,412,209/614,490
  6. Step 6: Final answer
    x = 1,480,169.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.