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Finding the Third Proportional to 1,265,913.56 and 1,808,962.88

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Solution

The third proportional to 1,265,913.56 and 1,808,962.88 is: 2,584,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,913.56 : 1,808,962.88 = 1,808,962.88 : x
  2. Step 2: Convert to fraction form
    1,265,913.56/1,808,962.88 = 1,808,962.88/x
  3. Step 3: Cross multiply
    1,265,913.56x = 1,808,962.88 × 1,808,962.88
  4. Step 4: Simplify right side
    1,265,913.56x = 3,272,346,683,128.27
  5. Step 5: Solve for x
    x = 3,272,346,683,128.27/1,265,913.56
  6. Step 6: Final answer
    x = 2,584,968.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.