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Finding the Third Proportional to 475,640 and 1,029,688

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Solution

The third proportional to 475,640 and 1,029,688 is: 2,229,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,640 : 1,029,688 = 1,029,688 : x
  2. Step 2: Convert to fraction form
    475,640/1,029,688 = 1,029,688/x
  3. Step 3: Cross multiply
    475,640x = 1,029,688 × 1,029,688
  4. Step 4: Simplify right side
    475,640x = 1,060,257,377,344
  5. Step 5: Solve for x
    x = 1,060,257,377,344/475,640
  6. Step 6: Final answer
    x = 2,229,117.35

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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.