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Finding the Third Proportional to 745,429 and 1,637,297

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Solution

The third proportional to 745,429 and 1,637,297 is: 3,596,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,429 : 1,637,297 = 1,637,297 : x
  2. Step 2: Convert to fraction form
    745,429/1,637,297 = 1,637,297/x
  3. Step 3: Cross multiply
    745,429x = 1,637,297 × 1,637,297
  4. Step 4: Simplify right side
    745,429x = 2,680,741,466,209
  5. Step 5: Solve for x
    x = 2,680,741,466,209/745,429
  6. Step 6: Final answer
    x = 3,596,239.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.