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Finding the Third Proportional to 929,020 and 1,357,682

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Solution

The third proportional to 929,020 and 1,357,682 is: 1,984,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,020 : 1,357,682 = 1,357,682 : x
  2. Step 2: Convert to fraction form
    929,020/1,357,682 = 1,357,682/x
  3. Step 3: Cross multiply
    929,020x = 1,357,682 × 1,357,682
  4. Step 4: Simplify right side
    929,020x = 1,843,300,413,124
  5. Step 5: Solve for x
    x = 1,843,300,413,124/929,020
  6. Step 6: Final answer
    x = 1,984,134.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.