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Finding the Third Proportional to 713,384 and 1,564,211

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Solution

The third proportional to 713,384 and 1,564,211 is: 3,429,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,384 : 1,564,211 = 1,564,211 : x
  2. Step 2: Convert to fraction form
    713,384/1,564,211 = 1,564,211/x
  3. Step 3: Cross multiply
    713,384x = 1,564,211 × 1,564,211
  4. Step 4: Simplify right side
    713,384x = 2,446,756,052,521
  5. Step 5: Solve for x
    x = 2,446,756,052,521/713,384
  6. Step 6: Final answer
    x = 3,429,788.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.