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Finding the Third Proportional to 673,544 and 1,430,113

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Solution

The third proportional to 673,544 and 1,430,113 is: 3,036,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,544 : 1,430,113 = 1,430,113 : x
  2. Step 2: Convert to fraction form
    673,544/1,430,113 = 1,430,113/x
  3. Step 3: Cross multiply
    673,544x = 1,430,113 × 1,430,113
  4. Step 4: Simplify right side
    673,544x = 2,045,223,192,769
  5. Step 5: Solve for x
    x = 2,045,223,192,769/673,544
  6. Step 6: Final answer
    x = 3,036,510.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.