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Finding the Third Proportional to 713,451.19 and 1,044,580.69

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Solution

The third proportional to 713,451.19 and 1,044,580.69 is: 1,529,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,451.19 : 1,044,580.69 = 1,044,580.69 : x
  2. Step 2: Convert to fraction form
    713,451.19/1,044,580.69 = 1,044,580.69/x
  3. Step 3: Cross multiply
    713,451.19x = 1,044,580.69 × 1,044,580.69
  4. Step 4: Simplify right side
    713,451.19x = 1,091,148,812,697.97
  5. Step 5: Solve for x
    x = 1,091,148,812,697.97/713,451.19
  6. Step 6: Final answer
    x = 1,529,395.19

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Why These Related Problems?

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