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Finding the Third Proportional to 1,292,343 and 2,819,688

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Solution

The third proportional to 1,292,343 and 2,819,688 is: 6,152,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,343 : 2,819,688 = 2,819,688 : x
  2. Step 2: Convert to fraction form
    1,292,343/2,819,688 = 2,819,688/x
  3. Step 3: Cross multiply
    1,292,343x = 2,819,688 × 2,819,688
  4. Step 4: Simplify right side
    1,292,343x = 7,950,640,417,344
  5. Step 5: Solve for x
    x = 7,950,640,417,344/1,292,343
  6. Step 6: Final answer
    x = 6,152,113.19

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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.