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Finding the Third Proportional to 1,563,700.64 and 3,426,336.42

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Solution

The third proportional to 1,563,700.64 and 3,426,336.42 is: 7,507,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563,700.64 : 3,426,336.42 = 3,426,336.42 : x
  2. Step 2: Convert to fraction form
    1,563,700.64/3,426,336.42 = 3,426,336.42/x
  3. Step 3: Cross multiply
    1,563,700.64x = 3,426,336.42 × 3,426,336.42
  4. Step 4: Simplify right side
    1,563,700.64x = 11,739,781,275,867.18
  5. Step 5: Solve for x
    x = 11,739,781,275,867.18/1,563,700.64
  6. Step 6: Final answer
    x = 7,507,691.03

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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.