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Finding the Third Proportional to 940,725 and 1,413,207

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Solution

The third proportional to 940,725 and 1,413,207 is: 2,122,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,725 : 1,413,207 = 1,413,207 : x
  2. Step 2: Convert to fraction form
    940,725/1,413,207 = 1,413,207/x
  3. Step 3: Cross multiply
    940,725x = 1,413,207 × 1,413,207
  4. Step 4: Simplify right side
    940,725x = 1,997,154,024,849
  5. Step 5: Solve for x
    x = 1,997,154,024,849/940,725
  6. Step 6: Final answer
    x = 2,122,994.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.