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Finding the Third Proportional to 1,435,218 and 2,312,487

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Solution

The third proportional to 1,435,218 and 2,312,487 is: 3,725,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,218 : 2,312,487 = 2,312,487 : x
  2. Step 2: Convert to fraction form
    1,435,218/2,312,487 = 2,312,487/x
  3. Step 3: Cross multiply
    1,435,218x = 2,312,487 × 2,312,487
  4. Step 4: Simplify right side
    1,435,218x = 5,347,596,125,169
  5. Step 5: Solve for x
    x = 5,347,596,125,169/1,435,218
  6. Step 6: Final answer
    x = 3,725,981.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.