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Finding the Third Proportional to 709,779.74 and 1,561,492.37

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Solution

The third proportional to 709,779.74 and 1,561,492.37 is: 3,435,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,779.74 : 1,561,492.37 = 1,561,492.37 : x
  2. Step 2: Convert to fraction form
    709,779.74/1,561,492.37 = 1,561,492.37/x
  3. Step 3: Cross multiply
    709,779.74x = 1,561,492.37 × 1,561,492.37
  4. Step 4: Simplify right side
    709,779.74x = 2,438,258,424,984.14
  5. Step 5: Solve for x
    x = 2,438,258,424,984.14/709,779.74
  6. Step 6: Final answer
    x = 3,435,232.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.