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Finding the Third Proportional to 928,971.91 and 1,357,609.68

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Solution

The third proportional to 928,971.91 and 1,357,609.68 is: 1,984,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,971.91 : 1,357,609.68 = 1,357,609.68 : x
  2. Step 2: Convert to fraction form
    928,971.91/1,357,609.68 = 1,357,609.68/x
  3. Step 3: Cross multiply
    928,971.91x = 1,357,609.68 × 1,357,609.68
  4. Step 4: Simplify right side
    928,971.91x = 1,843,104,031,774.74
  5. Step 5: Solve for x
    x = 1,843,104,031,774.74/928,971.91
  6. Step 6: Final answer
    x = 1,984,025.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.