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Finding the Third Proportional to 1,779,306.75 and 4,196,306.25

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Solution

The third proportional to 1,779,306.75 and 4,196,306.25 is: 9,896,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779,306.75 : 4,196,306.25 = 4,196,306.25 : x
  2. Step 2: Convert to fraction form
    1,779,306.75/4,196,306.25 = 4,196,306.25/x
  3. Step 3: Cross multiply
    1,779,306.75x = 4,196,306.25 × 4,196,306.25
  4. Step 4: Simplify right side
    1,779,306.75x = 17,608,986,143,789.06
  5. Step 5: Solve for x
    x = 17,608,986,143,789.06/1,779,306.75
  6. Step 6: Final answer
    x = 9,896,543.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.