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Finding the Third Proportional to 991,014 and 1,495,809

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Solution

The third proportional to 991,014 and 1,495,809 is: 2,257,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,014 : 1,495,809 = 1,495,809 : x
  2. Step 2: Convert to fraction form
    991,014/1,495,809 = 1,495,809/x
  3. Step 3: Cross multiply
    991,014x = 1,495,809 × 1,495,809
  4. Step 4: Simplify right side
    991,014x = 2,237,444,564,481
  5. Step 5: Solve for x
    x = 2,237,444,564,481/991,014
  6. Step 6: Final answer
    x = 2,257,732.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.