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Finding the Third Proportional to 1,059,274.13 and 1,360,086.19

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Solution

The third proportional to 1,059,274.13 and 1,360,086.19 is: 1,746,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,274.13 : 1,360,086.19 = 1,360,086.19 : x
  2. Step 2: Convert to fraction form
    1,059,274.13/1,360,086.19 = 1,360,086.19/x
  3. Step 3: Cross multiply
    1,059,274.13x = 1,360,086.19 × 1,360,086.19
  4. Step 4: Simplify right side
    1,059,274.13x = 1,849,834,437,428.29
  5. Step 5: Solve for x
    x = 1,849,834,437,428.29/1,059,274.13
  6. Step 6: Final answer
    x = 1,746,322.69

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.