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Finding the Third Proportional to 615,672 and 945,702

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Solution

The third proportional to 615,672 and 945,702 is: 1,452,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,672 : 945,702 = 945,702 : x
  2. Step 2: Convert to fraction form
    615,672/945,702 = 945,702/x
  3. Step 3: Cross multiply
    615,672x = 945,702 × 945,702
  4. Step 4: Simplify right side
    615,672x = 894,352,272,804
  5. Step 5: Solve for x
    x = 894,352,272,804/615,672
  6. Step 6: Final answer
    x = 1,452,644.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.