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Finding the Third Proportional to 1,017,289.13 and 1,495,315.69

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Solution

The third proportional to 1,017,289.13 and 1,495,315.69 is: 2,197,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,289.13 : 1,495,315.69 = 1,495,315.69 : x
  2. Step 2: Convert to fraction form
    1,017,289.13/1,495,315.69 = 1,495,315.69/x
  3. Step 3: Cross multiply
    1,017,289.13x = 1,495,315.69 × 1,495,315.69
  4. Step 4: Simplify right side
    1,017,289.13x = 2,235,969,005,283.60
  5. Step 5: Solve for x
    x = 2,235,969,005,283.60/1,017,289.13
  6. Step 6: Final answer
    x = 2,197,968.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.