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Finding the Third Proportional to 1,062,106.50 and 2,301,441

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Solution

The third proportional to 1,062,106.50 and 2,301,441 is: 4,986,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,106.50 : 2,301,441 = 2,301,441 : x
  2. Step 2: Convert to fraction form
    1,062,106.50/2,301,441 = 2,301,441/x
  3. Step 3: Cross multiply
    1,062,106.50x = 2,301,441 × 2,301,441
  4. Step 4: Simplify right side
    1,062,106.50x = 5,296,630,676,481
  5. Step 5: Solve for x
    x = 5,296,630,676,481/1,062,106.50
  6. Step 6: Final answer
    x = 4,986,911.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.