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Finding the Third Proportional to 1,287,130 and 1,692,575

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Solution

The third proportional to 1,287,130 and 1,692,575 is: 2,225,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,130 : 1,692,575 = 1,692,575 : x
  2. Step 2: Convert to fraction form
    1,287,130/1,692,575 = 1,692,575/x
  3. Step 3: Cross multiply
    1,287,130x = 1,692,575 × 1,692,575
  4. Step 4: Simplify right side
    1,287,130x = 2,864,810,130,625
  5. Step 5: Solve for x
    x = 2,864,810,130,625/1,287,130
  6. Step 6: Final answer
    x = 2,225,734.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.