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Finding the Third Proportional to 617,400 and 1,352,862

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Solution

The third proportional to 617,400 and 1,352,862 is: 2,964,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,400 : 1,352,862 = 1,352,862 : x
  2. Step 2: Convert to fraction form
    617,400/1,352,862 = 1,352,862/x
  3. Step 3: Cross multiply
    617,400x = 1,352,862 × 1,352,862
  4. Step 4: Simplify right side
    617,400x = 1,830,235,591,044
  5. Step 5: Solve for x
    x = 1,830,235,591,044/617,400
  6. Step 6: Final answer
    x = 2,964,424.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.