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Finding the Third Proportional to 704,875.88 and 1,134,953.25

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Solution

The third proportional to 704,875.88 and 1,134,953.25 is: 1,827,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,875.88 : 1,134,953.25 = 1,134,953.25 : x
  2. Step 2: Convert to fraction form
    704,875.88/1,134,953.25 = 1,134,953.25/x
  3. Step 3: Cross multiply
    704,875.88x = 1,134,953.25 × 1,134,953.25
  4. Step 4: Simplify right side
    704,875.88x = 1,288,118,879,685.56
  5. Step 5: Solve for x
    x = 1,288,118,879,685.56/704,875.88
  6. Step 6: Final answer
    x = 1,827,440.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.