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Finding the Third Proportional to 713,173 and 1,585,792

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Solution

The third proportional to 713,173 and 1,585,792 is: 3,526,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,173 : 1,585,792 = 1,585,792 : x
  2. Step 2: Convert to fraction form
    713,173/1,585,792 = 1,585,792/x
  3. Step 3: Cross multiply
    713,173x = 1,585,792 × 1,585,792
  4. Step 4: Simplify right side
    713,173x = 2,514,736,267,264
  5. Step 5: Solve for x
    x = 2,514,736,267,264/713,173
  6. Step 6: Final answer
    x = 3,526,123.77

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.