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Finding the Third Proportional to 1,030,820.25 and 1,657,038

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Solution

The third proportional to 1,030,820.25 and 1,657,038 is: 2,663,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,820.25 : 1,657,038 = 1,657,038 : x
  2. Step 2: Convert to fraction form
    1,030,820.25/1,657,038 = 1,657,038/x
  3. Step 3: Cross multiply
    1,030,820.25x = 1,657,038 × 1,657,038
  4. Step 4: Simplify right side
    1,030,820.25x = 2,745,774,933,444
  5. Step 5: Solve for x
    x = 2,745,774,933,444/1,030,820.25
  6. Step 6: Final answer
    x = 2,663,679.66

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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.