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Finding the Third Proportional to 997,090 and 1,495,259

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Solution

The third proportional to 997,090 and 1,495,259 is: 2,242,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,090 : 1,495,259 = 1,495,259 : x
  2. Step 2: Convert to fraction form
    997,090/1,495,259 = 1,495,259/x
  3. Step 3: Cross multiply
    997,090x = 1,495,259 × 1,495,259
  4. Step 4: Simplify right side
    997,090x = 2,235,799,477,081
  5. Step 5: Solve for x
    x = 2,235,799,477,081/997,090
  6. Step 6: Final answer
    x = 2,242,324.64

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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.