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Finding the Third Proportional to 528,829.50 and 1,031,091

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Solution

The third proportional to 528,829.50 and 1,031,091 is: 2,010,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,829.50 : 1,031,091 = 1,031,091 : x
  2. Step 2: Convert to fraction form
    528,829.50/1,031,091 = 1,031,091/x
  3. Step 3: Cross multiply
    528,829.50x = 1,031,091 × 1,031,091
  4. Step 4: Simplify right side
    528,829.50x = 1,063,148,650,281
  5. Step 5: Solve for x
    x = 1,063,148,650,281/528,829.50
  6. Step 6: Final answer
    x = 2,010,380.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.