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Finding the Third Proportional to 1,151,984 and 2,513,596

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Solution

The third proportional to 1,151,984 and 2,513,596 is: 5,484,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,984 : 2,513,596 = 2,513,596 : x
  2. Step 2: Convert to fraction form
    1,151,984/2,513,596 = 2,513,596/x
  3. Step 3: Cross multiply
    1,151,984x = 2,513,596 × 2,513,596
  4. Step 4: Simplify right side
    1,151,984x = 6,318,164,851,216
  5. Step 5: Solve for x
    x = 6,318,164,851,216/1,151,984
  6. Step 6: Final answer
    x = 5,484,594.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.