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Finding the Third Proportional to 713,454 and 1,044,584

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Solution

The third proportional to 713,454 and 1,044,584 is: 1,529,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,454 : 1,044,584 = 1,044,584 : x
  2. Step 2: Convert to fraction form
    713,454/1,044,584 = 1,044,584/x
  3. Step 3: Cross multiply
    713,454x = 1,044,584 × 1,044,584
  4. Step 4: Simplify right side
    713,454x = 1,091,155,733,056
  5. Step 5: Solve for x
    x = 1,091,155,733,056/713,454
  6. Step 6: Final answer
    x = 1,529,398.86

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