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Finding the Third Proportional to 473,348 and 1,029,640

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Solution

The third proportional to 473,348 and 1,029,640 is: 2,239,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,348 : 1,029,640 = 1,029,640 : x
  2. Step 2: Convert to fraction form
    473,348/1,029,640 = 1,029,640/x
  3. Step 3: Cross multiply
    473,348x = 1,029,640 × 1,029,640
  4. Step 4: Simplify right side
    473,348x = 1,060,158,529,600
  5. Step 5: Solve for x
    x = 1,060,158,529,600/473,348
  6. Step 6: Final answer
    x = 2,239,702.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.