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Finding the Third Proportional to 1,064,970.56 and 1,608,543.84

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Solution

The third proportional to 1,064,970.56 and 1,608,543.84 is: 2,429,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,970.56 : 1,608,543.84 = 1,608,543.84 : x
  2. Step 2: Convert to fraction form
    1,064,970.56/1,608,543.84 = 1,608,543.84/x
  3. Step 3: Cross multiply
    1,064,970.56x = 1,608,543.84 × 1,608,543.84
  4. Step 4: Simplify right side
    1,064,970.56x = 2,587,413,297,266.02
  5. Step 5: Solve for x
    x = 2,587,413,297,266.02/1,064,970.56
  6. Step 6: Final answer
    x = 2,429,563.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.