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Finding the Third Proportional to 405,460.13 and 891,856.13

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Solution

The third proportional to 405,460.13 and 891,856.13 is: 1,961,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,460.13 : 891,856.13 = 891,856.13 : x
  2. Step 2: Convert to fraction form
    405,460.13/891,856.13 = 891,856.13/x
  3. Step 3: Cross multiply
    405,460.13x = 891,856.13 × 891,856.13
  4. Step 4: Simplify right side
    405,460.13x = 795,407,347,700.02
  5. Step 5: Solve for x
    x = 795,407,347,700.02/405,460.13
  6. Step 6: Final answer
    x = 1,961,740.01

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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.