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Finding the Third Proportional to 786,904 and 1,685,448

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Solution

The third proportional to 786,904 and 1,685,448 is: 3,610,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,904 : 1,685,448 = 1,685,448 : x
  2. Step 2: Convert to fraction form
    786,904/1,685,448 = 1,685,448/x
  3. Step 3: Cross multiply
    786,904x = 1,685,448 × 1,685,448
  4. Step 4: Simplify right side
    786,904x = 2,840,734,960,704
  5. Step 5: Solve for x
    x = 2,840,734,960,704/786,904
  6. Step 6: Final answer
    x = 3,610,014.64

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