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Finding the Third Proportional to 1,105,746.19 and 2,365,191.14

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Solution

The third proportional to 1,105,746.19 and 2,365,191.14 is: 5,059,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,746.19 : 2,365,191.14 = 2,365,191.14 : x
  2. Step 2: Convert to fraction form
    1,105,746.19/2,365,191.14 = 2,365,191.14/x
  3. Step 3: Cross multiply
    1,105,746.19x = 2,365,191.14 × 2,365,191.14
  4. Step 4: Simplify right side
    1,105,746.19x = 5,594,129,131,690.99
  5. Step 5: Solve for x
    x = 5,594,129,131,690.99/1,105,746.19
  6. Step 6: Final answer
    x = 5,059,143.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.