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Finding the Third Proportional to 1,186,308 and 1,838,448

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Solution

The third proportional to 1,186,308 and 1,838,448 is: 2,849,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,308 : 1,838,448 = 1,838,448 : x
  2. Step 2: Convert to fraction form
    1,186,308/1,838,448 = 1,838,448/x
  3. Step 3: Cross multiply
    1,186,308x = 1,838,448 × 1,838,448
  4. Step 4: Simplify right side
    1,186,308x = 3,379,891,048,704
  5. Step 5: Solve for x
    x = 3,379,891,048,704/1,186,308
  6. Step 6: Final answer
    x = 2,849,083.92

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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.