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Finding the Third Proportional to 413,070 and 903,900

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Solution

The third proportional to 413,070 and 903,900 is: 1,977,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,070 : 903,900 = 903,900 : x
  2. Step 2: Convert to fraction form
    413,070/903,900 = 903,900/x
  3. Step 3: Cross multiply
    413,070x = 903,900 × 903,900
  4. Step 4: Simplify right side
    413,070x = 817,035,210,000
  5. Step 5: Solve for x
    x = 817,035,210,000/413,070
  6. Step 6: Final answer
    x = 1,977,958.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.