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Finding the Third Proportional to 967,500 and 1,512,070.50

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Solution

The third proportional to 967,500 and 1,512,070.50 is: 2,363,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,500 : 1,512,070.50 = 1,512,070.50 : x
  2. Step 2: Convert to fraction form
    967,500/1,512,070.50 = 1,512,070.50/x
  3. Step 3: Cross multiply
    967,500x = 1,512,070.50 × 1,512,070.50
  4. Step 4: Simplify right side
    967,500x = 2,286,357,196,970.25
  5. Step 5: Solve for x
    x = 2,286,357,196,970.25/967,500
  6. Step 6: Final answer
    x = 2,363,159.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.