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Finding the Third Proportional to 713,459 and 1,044,591

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Solution

The third proportional to 713,459 and 1,044,591 is: 1,529,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,459 : 1,044,591 = 1,044,591 : x
  2. Step 2: Convert to fraction form
    713,459/1,044,591 = 1,044,591/x
  3. Step 3: Cross multiply
    713,459x = 1,044,591 × 1,044,591
  4. Step 4: Simplify right side
    713,459x = 1,091,170,357,281
  5. Step 5: Solve for x
    x = 1,091,170,357,281/713,459
  6. Step 6: Final answer
    x = 1,529,408.64

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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.