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Finding the Third Proportional to 910,617.82 and 1,315,583.02

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Solution

The third proportional to 910,617.82 and 1,315,583.02 is: 1,900,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,617.82 : 1,315,583.02 = 1,315,583.02 : x
  2. Step 2: Convert to fraction form
    910,617.82/1,315,583.02 = 1,315,583.02/x
  3. Step 3: Cross multiply
    910,617.82x = 1,315,583.02 × 1,315,583.02
  4. Step 4: Simplify right side
    910,617.82x = 1,730,758,671,000.97
  5. Step 5: Solve for x
    x = 1,730,758,671,000.97/910,617.82
  6. Step 6: Final answer
    x = 1,900,642.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.