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Finding the Third Proportional to 614,484 and 894,708

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Solution

The third proportional to 614,484 and 894,708 is: 1,302,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,484 : 894,708 = 894,708 : x
  2. Step 2: Convert to fraction form
    614,484/894,708 = 894,708/x
  3. Step 3: Cross multiply
    614,484x = 894,708 × 894,708
  4. Step 4: Simplify right side
    614,484x = 800,502,405,264
  5. Step 5: Solve for x
    x = 800,502,405,264/614,484
  6. Step 6: Final answer
    x = 1,302,722.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.