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Finding the Third Proportional to 940,306 and 2,038,076

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Solution

The third proportional to 940,306 and 2,038,076 is: 4,417,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,306 : 2,038,076 = 2,038,076 : x
  2. Step 2: Convert to fraction form
    940,306/2,038,076 = 2,038,076/x
  3. Step 3: Cross multiply
    940,306x = 2,038,076 × 2,038,076
  4. Step 4: Simplify right side
    940,306x = 4,153,753,781,776
  5. Step 5: Solve for x
    x = 4,153,753,781,776/940,306
  6. Step 6: Final answer
    x = 4,417,448.98

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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.