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Finding the Third Proportional to 745,434 and 1,637,307

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Solution

The third proportional to 745,434 and 1,637,307 is: 3,596,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,434 : 1,637,307 = 1,637,307 : x
  2. Step 2: Convert to fraction form
    745,434/1,637,307 = 1,637,307/x
  3. Step 3: Cross multiply
    745,434x = 1,637,307 × 1,637,307
  4. Step 4: Simplify right side
    745,434x = 2,680,774,212,249
  5. Step 5: Solve for x
    x = 2,680,774,212,249/745,434
  6. Step 6: Final answer
    x = 3,596,259.65

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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.