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Finding the Third Proportional to 616,240 and 1,333,564

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Solution

The third proportional to 616,240 and 1,333,564 is: 2,885,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,240 : 1,333,564 = 1,333,564 : x
  2. Step 2: Convert to fraction form
    616,240/1,333,564 = 1,333,564/x
  3. Step 3: Cross multiply
    616,240x = 1,333,564 × 1,333,564
  4. Step 4: Simplify right side
    616,240x = 1,778,392,942,096
  5. Step 5: Solve for x
    x = 1,778,392,942,096/616,240
  6. Step 6: Final answer
    x = 2,885,877.16

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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.