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Finding the Third Proportional to 1,690,348.50 and 3,758,643

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Solution

The third proportional to 1,690,348.50 and 3,758,643 is: 8,357,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,348.50 : 3,758,643 = 3,758,643 : x
  2. Step 2: Convert to fraction form
    1,690,348.50/3,758,643 = 3,758,643/x
  3. Step 3: Cross multiply
    1,690,348.50x = 3,758,643 × 3,758,643
  4. Step 4: Simplify right side
    1,690,348.50x = 14,127,397,201,449
  5. Step 5: Solve for x
    x = 14,127,397,201,449/1,690,348.50
  6. Step 6: Final answer
    x = 8,357,683.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.