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Finding the Third Proportional to 705,030.75 and 1,447,389

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Solution

The third proportional to 705,030.75 and 1,447,389 is: 2,971,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,030.75 : 1,447,389 = 1,447,389 : x
  2. Step 2: Convert to fraction form
    705,030.75/1,447,389 = 1,447,389/x
  3. Step 3: Cross multiply
    705,030.75x = 1,447,389 × 1,447,389
  4. Step 4: Simplify right side
    705,030.75x = 2,094,934,917,321
  5. Step 5: Solve for x
    x = 2,094,934,917,321/705,030.75
  6. Step 6: Final answer
    x = 2,971,409.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.