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Finding the Third Proportional to 619,516 and 911,128

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Solution

The third proportional to 619,516 and 911,128 is: 1,340,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,516 : 911,128 = 911,128 : x
  2. Step 2: Convert to fraction form
    619,516/911,128 = 911,128/x
  3. Step 3: Cross multiply
    619,516x = 911,128 × 911,128
  4. Step 4: Simplify right side
    619,516x = 830,154,232,384
  5. Step 5: Solve for x
    x = 830,154,232,384/619,516
  6. Step 6: Final answer
    x = 1,340,004.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.