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Finding the Third Proportional to 409,582.59 and 897,897.16

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Solution

The third proportional to 409,582.59 and 897,897.16 is: 1,968,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,582.59 : 897,897.16 = 897,897.16 : x
  2. Step 2: Convert to fraction form
    409,582.59/897,897.16 = 897,897.16/x
  3. Step 3: Cross multiply
    409,582.59x = 897,897.16 × 897,897.16
  4. Step 4: Simplify right side
    409,582.59x = 806,219,303,201.84
  5. Step 5: Solve for x
    x = 806,219,303,201.84/409,582.59
  6. Step 6: Final answer
    x = 1,968,392.49

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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.