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Finding the Third Proportional to 1,179,538.50 and 1,779,055.50

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Solution

The third proportional to 1,179,538.50 and 1,779,055.50 is: 2,683,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,538.50 : 1,779,055.50 = 1,779,055.50 : x
  2. Step 2: Convert to fraction form
    1,179,538.50/1,779,055.50 = 1,779,055.50/x
  3. Step 3: Cross multiply
    1,179,538.50x = 1,779,055.50 × 1,779,055.50
  4. Step 4: Simplify right side
    1,179,538.50x = 3,165,038,472,080.25
  5. Step 5: Solve for x
    x = 3,165,038,472,080.25/1,179,538.50
  6. Step 6: Final answer
    x = 2,683,285.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.