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Finding the Third Proportional to 1,036,364.63 and 2,242,487.53

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Solution

The third proportional to 1,036,364.63 and 2,242,487.53 is: 4,852,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,364.63 : 2,242,487.53 = 2,242,487.53 : x
  2. Step 2: Convert to fraction form
    1,036,364.63/2,242,487.53 = 2,242,487.53/x
  3. Step 3: Cross multiply
    1,036,364.63x = 2,242,487.53 × 2,242,487.53
  4. Step 4: Simplify right side
    1,036,364.63x = 5,028,750,327,811.72
  5. Step 5: Solve for x
    x = 5,028,750,327,811.72/1,036,364.63
  6. Step 6: Final answer
    x = 4,852,298.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.