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Finding the Third Proportional to 575,101 and 1,209,696

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Solution

The third proportional to 575,101 and 1,209,696 is: 2,544,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,101 : 1,209,696 = 1,209,696 : x
  2. Step 2: Convert to fraction form
    575,101/1,209,696 = 1,209,696/x
  3. Step 3: Cross multiply
    575,101x = 1,209,696 × 1,209,696
  4. Step 4: Simplify right side
    575,101x = 1,463,364,412,416
  5. Step 5: Solve for x
    x = 1,463,364,412,416/575,101
  6. Step 6: Final answer
    x = 2,544,534.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.