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Finding the Third Proportional to 2,584,765 and 4,292,965.50

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Solution

The third proportional to 2,584,765 and 4,292,965.50 is: 7,130,068.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,765 : 4,292,965.50 = 4,292,965.50 : x
  2. Step 2: Convert to fraction form
    2,584,765/4,292,965.50 = 4,292,965.50/x
  3. Step 3: Cross multiply
    2,584,765x = 4,292,965.50 × 4,292,965.50
  4. Step 4: Simplify right side
    2,584,765x = 18,429,552,784,190.25
  5. Step 5: Solve for x
    x = 18,429,552,784,190.25/2,584,765
  6. Step 6: Final answer
    x = 7,130,068.99

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