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Finding the Third Proportional to 1,064,742.75 and 2,262,340.13

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Solution

The third proportional to 1,064,742.75 and 2,262,340.13 is: 4,806,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,742.75 : 2,262,340.13 = 2,262,340.13 : x
  2. Step 2: Convert to fraction form
    1,064,742.75/2,262,340.13 = 2,262,340.13/x
  3. Step 3: Cross multiply
    1,064,742.75x = 2,262,340.13 × 2,262,340.13
  4. Step 4: Simplify right side
    1,064,742.75x = 5,118,182,841,185.02
  5. Step 5: Solve for x
    x = 5,118,182,841,185.02/1,064,742.75
  6. Step 6: Final answer
    x = 4,806,966.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.