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Finding the Third Proportional to 1,686,320 and 3,654,808

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Solution

The third proportional to 1,686,320 and 3,654,808 is: 7,921,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,320 : 3,654,808 = 3,654,808 : x
  2. Step 2: Convert to fraction form
    1,686,320/3,654,808 = 3,654,808/x
  3. Step 3: Cross multiply
    1,686,320x = 3,654,808 × 3,654,808
  4. Step 4: Simplify right side
    1,686,320x = 13,357,621,516,864
  5. Step 5: Solve for x
    x = 13,357,621,516,864/1,686,320
  6. Step 6: Final answer
    x = 7,921,166.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.