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Finding the Third Proportional to 1,337,952.75 and 1,907,275.50

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Solution

The third proportional to 1,337,952.75 and 1,907,275.50 is: 2,718,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,952.75 : 1,907,275.50 = 1,907,275.50 : x
  2. Step 2: Convert to fraction form
    1,337,952.75/1,907,275.50 = 1,907,275.50/x
  3. Step 3: Cross multiply
    1,337,952.75x = 1,907,275.50 × 1,907,275.50
  4. Step 4: Simplify right side
    1,337,952.75x = 3,637,699,832,900.25
  5. Step 5: Solve for x
    x = 3,637,699,832,900.25/1,337,952.75
  6. Step 6: Final answer
    x = 2,718,855.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.