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Finding the Third Proportional to 677,020 and 1,470,584

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Solution

The third proportional to 677,020 and 1,470,584 is: 3,194,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,020 : 1,470,584 = 1,470,584 : x
  2. Step 2: Convert to fraction form
    677,020/1,470,584 = 1,470,584/x
  3. Step 3: Cross multiply
    677,020x = 1,470,584 × 1,470,584
  4. Step 4: Simplify right side
    677,020x = 2,162,617,301,056
  5. Step 5: Solve for x
    x = 2,162,617,301,056/677,020
  6. Step 6: Final answer
    x = 3,194,318.19

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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.