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Finding the Third Proportional to 1,145,596 and 1,683,318

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Solution

The third proportional to 1,145,596 and 1,683,318 is: 2,473,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,596 : 1,683,318 = 1,683,318 : x
  2. Step 2: Convert to fraction form
    1,145,596/1,683,318 = 1,683,318/x
  3. Step 3: Cross multiply
    1,145,596x = 1,683,318 × 1,683,318
  4. Step 4: Simplify right side
    1,145,596x = 2,833,559,489,124
  5. Step 5: Solve for x
    x = 2,833,559,489,124/1,145,596
  6. Step 6: Final answer
    x = 2,473,436.96

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Why These Related Problems?

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