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Finding the Third Proportional to 729,312 and 1,575,264

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Solution

The third proportional to 729,312 and 1,575,264 is: 3,402,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,312 : 1,575,264 = 1,575,264 : x
  2. Step 2: Convert to fraction form
    729,312/1,575,264 = 1,575,264/x
  3. Step 3: Cross multiply
    729,312x = 1,575,264 × 1,575,264
  4. Step 4: Simplify right side
    729,312x = 2,481,456,669,696
  5. Step 5: Solve for x
    x = 2,481,456,669,696/729,312
  6. Step 6: Final answer
    x = 3,402,462.42

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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.