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Finding the Third Proportional to 713,261 and 1,554,465

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Solution

The third proportional to 713,261 and 1,554,465 is: 3,387,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,261 : 1,554,465 = 1,554,465 : x
  2. Step 2: Convert to fraction form
    713,261/1,554,465 = 1,554,465/x
  3. Step 3: Cross multiply
    713,261x = 1,554,465 × 1,554,465
  4. Step 4: Simplify right side
    713,261x = 2,416,361,436,225
  5. Step 5: Solve for x
    x = 2,416,361,436,225/713,261
  6. Step 6: Final answer
    x = 3,387,766.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.