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Finding the Third Proportional to 727,350 and 1,586,865

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Solution

The third proportional to 727,350 and 1,586,865 is: 3,462,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,350 : 1,586,865 = 1,586,865 : x
  2. Step 2: Convert to fraction form
    727,350/1,586,865 = 1,586,865/x
  3. Step 3: Cross multiply
    727,350x = 1,586,865 × 1,586,865
  4. Step 4: Simplify right side
    727,350x = 2,518,140,528,225
  5. Step 5: Solve for x
    x = 2,518,140,528,225/727,350
  6. Step 6: Final answer
    x = 3,462,075.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.