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Finding the Third Proportional to 1,398,262.50 and 2,159,209.41

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Solution

The third proportional to 1,398,262.50 and 2,159,209.41 is: 3,334,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,262.50 : 2,159,209.41 = 2,159,209.41 : x
  2. Step 2: Convert to fraction form
    1,398,262.50/2,159,209.41 = 2,159,209.41/x
  3. Step 3: Cross multiply
    1,398,262.50x = 2,159,209.41 × 2,159,209.41
  4. Step 4: Simplify right side
    1,398,262.50x = 4,662,185,260,038.48
  5. Step 5: Solve for x
    x = 4,662,185,260,038.48/1,398,262.50
  6. Step 6: Final answer
    x = 3,334,270.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.