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Finding the Third Proportional to 869,076 and 1,342,973.25

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Solution

The third proportional to 869,076 and 1,342,973.25 is: 2,075,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,076 : 1,342,973.25 = 1,342,973.25 : x
  2. Step 2: Convert to fraction form
    869,076/1,342,973.25 = 1,342,973.25/x
  3. Step 3: Cross multiply
    869,076x = 1,342,973.25 × 1,342,973.25
  4. Step 4: Simplify right side
    869,076x = 1,803,577,150,215.56
  5. Step 5: Solve for x
    x = 1,803,577,150,215.56/869,076
  6. Step 6: Final answer
    x = 2,075,281.28

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