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Finding the Third Proportional to 575,163 and 1,209,804

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Solution

The third proportional to 575,163 and 1,209,804 is: 2,544,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,163 : 1,209,804 = 1,209,804 : x
  2. Step 2: Convert to fraction form
    575,163/1,209,804 = 1,209,804/x
  3. Step 3: Cross multiply
    575,163x = 1,209,804 × 1,209,804
  4. Step 4: Simplify right side
    575,163x = 1,463,625,718,416
  5. Step 5: Solve for x
    x = 1,463,625,718,416/575,163
  6. Step 6: Final answer
    x = 2,544,714.66

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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.