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Finding the Third Proportional to 619,358 and 872,160

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Solution

The third proportional to 619,358 and 872,160 is: 1,228,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,358 : 872,160 = 872,160 : x
  2. Step 2: Convert to fraction form
    619,358/872,160 = 872,160/x
  3. Step 3: Cross multiply
    619,358x = 872,160 × 872,160
  4. Step 4: Simplify right side
    619,358x = 760,663,065,600
  5. Step 5: Solve for x
    x = 760,663,065,600/619,358
  6. Step 6: Final answer
    x = 1,228,147.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.