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Finding the Third Proportional to 1,028,014,188 and 1,566,113,292

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Solution

The third proportional to 1,028,014,188 and 1,566,113,292 is: 2,385,872,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,014,188 : 1,566,113,292 = 1,566,113,292 : x
  2. Step 2: Convert to fraction form
    1,028,014,188/1,566,113,292 = 1,566,113,292/x
  3. Step 3: Cross multiply
    1,028,014,188x = 1,566,113,292 × 1,566,113,292
  4. Step 4: Simplify right side
    1,028,014,188x = 2,452,710,843,379,077,120
  5. Step 5: Solve for x
    x = 2,452,710,843,379,077,120/1,028,014,188
  6. Step 6: Final answer
    x = 2,385,872,560.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.