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Finding the Third Proportional to 2,584,664 and 4,292,804

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Solution

The third proportional to 2,584,664 and 4,292,804 is: 7,129,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,664 : 4,292,804 = 4,292,804 : x
  2. Step 2: Convert to fraction form
    2,584,664/4,292,804 = 4,292,804/x
  3. Step 3: Cross multiply
    2,584,664x = 4,292,804 × 4,292,804
  4. Step 4: Simplify right side
    2,584,664x = 18,428,166,182,416
  5. Step 5: Solve for x
    x = 18,428,166,182,416/2,584,664
  6. Step 6: Final answer
    x = 7,129,811.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.