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Finding the Third Proportional to 1,615,800 and 2,457,274.50

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Solution

The third proportional to 1,615,800 and 2,457,274.50 is: 3,736,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,800 : 2,457,274.50 = 2,457,274.50 : x
  2. Step 2: Convert to fraction form
    1,615,800/2,457,274.50 = 2,457,274.50/x
  3. Step 3: Cross multiply
    1,615,800x = 2,457,274.50 × 2,457,274.50
  4. Step 4: Simplify right side
    1,615,800x = 6,038,197,968,350.25
  5. Step 5: Solve for x
    x = 6,038,197,968,350.25/1,615,800
  6. Step 6: Final answer
    x = 3,736,971.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.