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Finding the Third Proportional to 713,498.63 and 1,105,002

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Solution

The third proportional to 713,498.63 and 1,105,002 is: 1,711,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,498.63 : 1,105,002 = 1,105,002 : x
  2. Step 2: Convert to fraction form
    713,498.63/1,105,002 = 1,105,002/x
  3. Step 3: Cross multiply
    713,498.63x = 1,105,002 × 1,105,002
  4. Step 4: Simplify right side
    713,498.63x = 1,221,029,420,004
  5. Step 5: Solve for x
    x = 1,221,029,420,004/713,498.63
  6. Step 6: Final answer
    x = 1,711,326.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.