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Finding the Third Proportional to 2,982,751.50 and 4,216,547.25

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Solution

The third proportional to 2,982,751.50 and 4,216,547.25 is: 5,960,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982,751.50 : 4,216,547.25 = 4,216,547.25 : x
  2. Step 2: Convert to fraction form
    2,982,751.50/4,216,547.25 = 4,216,547.25/x
  3. Step 3: Cross multiply
    2,982,751.50x = 4,216,547.25 × 4,216,547.25
  4. Step 4: Simplify right side
    2,982,751.50x = 17,779,270,711,482.56
  5. Step 5: Solve for x
    x = 17,779,270,711,482.56/2,982,751.50
  6. Step 6: Final answer
    x = 5,960,694.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.