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Finding the Third Proportional to 658,584 and 1,047,312

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Solution

The third proportional to 658,584 and 1,047,312 is: 1,665,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,584 : 1,047,312 = 1,047,312 : x
  2. Step 2: Convert to fraction form
    658,584/1,047,312 = 1,047,312/x
  3. Step 3: Cross multiply
    658,584x = 1,047,312 × 1,047,312
  4. Step 4: Simplify right side
    658,584x = 1,096,862,425,344
  5. Step 5: Solve for x
    x = 1,096,862,425,344/658,584
  6. Step 6: Final answer
    x = 1,665,485.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.