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Finding the Third Proportional to 713,114 and 1,566,178

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Solution

The third proportional to 713,114 and 1,566,178 is: 3,439,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,114 : 1,566,178 = 1,566,178 : x
  2. Step 2: Convert to fraction form
    713,114/1,566,178 = 1,566,178/x
  3. Step 3: Cross multiply
    713,114x = 1,566,178 × 1,566,178
  4. Step 4: Simplify right side
    713,114x = 2,452,913,527,684
  5. Step 5: Solve for x
    x = 2,452,913,527,684/713,114
  6. Step 6: Final answer
    x = 3,439,721.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.