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Finding the Third Proportional to 1,186,323 and 1,838,468

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Solution

The third proportional to 1,186,323 and 1,838,468 is: 2,849,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,323 : 1,838,468 = 1,838,468 : x
  2. Step 2: Convert to fraction form
    1,186,323/1,838,468 = 1,838,468/x
  3. Step 3: Cross multiply
    1,186,323x = 1,838,468 × 1,838,468
  4. Step 4: Simplify right side
    1,186,323x = 3,379,964,587,024
  5. Step 5: Solve for x
    x = 3,379,964,587,024/1,186,323
  6. Step 6: Final answer
    x = 2,849,109.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.