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Finding the Third Proportional to 997,211.25 and 1,495,513.13

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Solution

The third proportional to 997,211.25 and 1,495,513.13 is: 2,242,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,211.25 : 1,495,513.13 = 1,495,513.13 : x
  2. Step 2: Convert to fraction form
    997,211.25/1,495,513.13 = 1,495,513.13/x
  3. Step 3: Cross multiply
    997,211.25x = 1,495,513.13 × 1,495,513.13
  4. Step 4: Simplify right side
    997,211.25x = 2,236,559,507,047.27
  5. Step 5: Solve for x
    x = 2,236,559,507,047.27/997,211.25
  6. Step 6: Final answer
    x = 2,242,814.16

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Why These Related Problems?

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