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Finding the Third Proportional to 671,445 and 1,041,205.50

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Solution

The third proportional to 671,445 and 1,041,205.50 is: 1,614,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,445 : 1,041,205.50 = 1,041,205.50 : x
  2. Step 2: Convert to fraction form
    671,445/1,041,205.50 = 1,041,205.50/x
  3. Step 3: Cross multiply
    671,445x = 1,041,205.50 × 1,041,205.50
  4. Step 4: Simplify right side
    671,445x = 1,084,108,893,230.25
  5. Step 5: Solve for x
    x = 1,084,108,893,230.25/671,445
  6. Step 6: Final answer
    x = 1,614,590.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.