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Finding the Third Proportional to 1,569,823 and 3,390,583

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Solution

The third proportional to 1,569,823 and 3,390,583 is: 7,323,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,823 : 3,390,583 = 3,390,583 : x
  2. Step 2: Convert to fraction form
    1,569,823/3,390,583 = 3,390,583/x
  3. Step 3: Cross multiply
    1,569,823x = 3,390,583 × 3,390,583
  4. Step 4: Simplify right side
    1,569,823x = 11,496,053,079,889
  5. Step 5: Solve for x
    x = 11,496,053,079,889/1,569,823
  6. Step 6: Final answer
    x = 7,323,152.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.