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Finding the Third Proportional to 1,059,264 and 1,360,066.50

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Solution

The third proportional to 1,059,264 and 1,360,066.50 is: 1,746,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,264 : 1,360,066.50 = 1,360,066.50 : x
  2. Step 2: Convert to fraction form
    1,059,264/1,360,066.50 = 1,360,066.50/x
  3. Step 3: Cross multiply
    1,059,264x = 1,360,066.50 × 1,360,066.50
  4. Step 4: Simplify right side
    1,059,264x = 1,849,780,884,422.25
  5. Step 5: Solve for x
    x = 1,849,780,884,422.25/1,059,264
  6. Step 6: Final answer
    x = 1,746,288.82

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