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Finding the Third Proportional to 732,312 and 1,586,420

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Solution

The third proportional to 732,312 and 1,586,420 is: 3,436,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,312 : 1,586,420 = 1,586,420 : x
  2. Step 2: Convert to fraction form
    732,312/1,586,420 = 1,586,420/x
  3. Step 3: Cross multiply
    732,312x = 1,586,420 × 1,586,420
  4. Step 4: Simplify right side
    732,312x = 2,516,728,416,400
  5. Step 5: Solve for x
    x = 2,516,728,416,400/732,312
  6. Step 6: Final answer
    x = 3,436,688.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.