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Finding the Third Proportional to 1,685,160 and 2,584,048.50

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Solution

The third proportional to 1,685,160 and 2,584,048.50 is: 3,962,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,160 : 2,584,048.50 = 2,584,048.50 : x
  2. Step 2: Convert to fraction form
    1,685,160/2,584,048.50 = 2,584,048.50/x
  3. Step 3: Cross multiply
    1,685,160x = 2,584,048.50 × 2,584,048.50
  4. Step 4: Simplify right side
    1,685,160x = 6,677,306,650,352.25
  5. Step 5: Solve for x
    x = 6,677,306,650,352.25/1,685,160
  6. Step 6: Final answer
    x = 3,962,417.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.