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Finding the Third Proportional to 1,148,222 and 1,689,114

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Solution

The third proportional to 1,148,222 and 1,689,114 is: 2,484,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,222 : 1,689,114 = 1,689,114 : x
  2. Step 2: Convert to fraction form
    1,148,222/1,689,114 = 1,689,114/x
  3. Step 3: Cross multiply
    1,148,222x = 1,689,114 × 1,689,114
  4. Step 4: Simplify right side
    1,148,222x = 2,853,106,104,996
  5. Step 5: Solve for x
    x = 2,853,106,104,996/1,148,222
  6. Step 6: Final answer
    x = 2,484,803.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.