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Finding the Third Proportional to 1,292,548 and 1,973,814

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Solution

The third proportional to 1,292,548 and 1,973,814 is: 3,014,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,548 : 1,973,814 = 1,973,814 : x
  2. Step 2: Convert to fraction form
    1,292,548/1,973,814 = 1,973,814/x
  3. Step 3: Cross multiply
    1,292,548x = 1,973,814 × 1,973,814
  4. Step 4: Simplify right side
    1,292,548x = 3,895,941,706,596
  5. Step 5: Solve for x
    x = 3,895,941,706,596/1,292,548
  6. Step 6: Final answer
    x = 3,014,156.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.