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Finding the Third Proportional to 616,280 and 1,333,640

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Solution

The third proportional to 616,280 and 1,333,640 is: 2,886,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,280 : 1,333,640 = 1,333,640 : x
  2. Step 2: Convert to fraction form
    616,280/1,333,640 = 1,333,640/x
  3. Step 3: Cross multiply
    616,280x = 1,333,640 × 1,333,640
  4. Step 4: Simplify right side
    616,280x = 1,778,595,649,600
  5. Step 5: Solve for x
    x = 1,778,595,649,600/616,280
  6. Step 6: Final answer
    x = 2,886,018.77

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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.