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Finding the Third Proportional to 1,289,569 and 1,937,594

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Solution

The third proportional to 1,289,569 and 1,937,594 is: 2,911,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,569 : 1,937,594 = 1,937,594 : x
  2. Step 2: Convert to fraction form
    1,289,569/1,937,594 = 1,937,594/x
  3. Step 3: Cross multiply
    1,289,569x = 1,937,594 × 1,937,594
  4. Step 4: Simplify right side
    1,289,569x = 3,754,270,508,836
  5. Step 5: Solve for x
    x = 3,754,270,508,836/1,289,569
  6. Step 6: Final answer
    x = 2,911,259.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.