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Finding the Third Proportional to 612,448 and 894,480

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Solution

The third proportional to 612,448 and 894,480 is: 1,306,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,448 : 894,480 = 894,480 : x
  2. Step 2: Convert to fraction form
    612,448/894,480 = 894,480/x
  3. Step 3: Cross multiply
    612,448x = 894,480 × 894,480
  4. Step 4: Simplify right side
    612,448x = 800,094,470,400
  5. Step 5: Solve for x
    x = 800,094,470,400/612,448
  6. Step 6: Final answer
    x = 1,306,387.60

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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.