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Finding the Third Proportional to 877,024 and 1,312,016

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Solution

The third proportional to 877,024 and 1,312,016 is: 1,962,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,024 : 1,312,016 = 1,312,016 : x
  2. Step 2: Convert to fraction form
    877,024/1,312,016 = 1,312,016/x
  3. Step 3: Cross multiply
    877,024x = 1,312,016 × 1,312,016
  4. Step 4: Simplify right side
    877,024x = 1,721,385,984,256
  5. Step 5: Solve for x
    x = 1,721,385,984,256/877,024
  6. Step 6: Final answer
    x = 1,962,758.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.