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Finding the Third Proportional to 575,266 and 1,254,348

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Solution

The third proportional to 575,266 and 1,254,348 is: 2,735,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,266 : 1,254,348 = 1,254,348 : x
  2. Step 2: Convert to fraction form
    575,266/1,254,348 = 1,254,348/x
  3. Step 3: Cross multiply
    575,266x = 1,254,348 × 1,254,348
  4. Step 4: Simplify right side
    575,266x = 1,573,388,905,104
  5. Step 5: Solve for x
    x = 1,573,388,905,104/575,266
  6. Step 6: Final answer
    x = 2,735,063.27

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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.