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Finding the Third Proportional to 894,240 and 1,395,792

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Solution

The third proportional to 894,240 and 1,395,792 is: 2,178,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,240 : 1,395,792 = 1,395,792 : x
  2. Step 2: Convert to fraction form
    894,240/1,395,792 = 1,395,792/x
  3. Step 3: Cross multiply
    894,240x = 1,395,792 × 1,395,792
  4. Step 4: Simplify right side
    894,240x = 1,948,235,307,264
  5. Step 5: Solve for x
    x = 1,948,235,307,264/894,240
  6. Step 6: Final answer
    x = 2,178,649.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.