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Finding the Third Proportional to 1,235,973.94 and 1,852,753.50

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Solution

The third proportional to 1,235,973.94 and 1,852,753.50 is: 2,777,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,973.94 : 1,852,753.50 = 1,852,753.50 : x
  2. Step 2: Convert to fraction form
    1,235,973.94/1,852,753.50 = 1,852,753.50/x
  3. Step 3: Cross multiply
    1,235,973.94x = 1,852,753.50 × 1,852,753.50
  4. Step 4: Simplify right side
    1,235,973.94x = 3,432,695,531,762.25
  5. Step 5: Solve for x
    x = 3,432,695,531,762.25/1,235,973.94
  6. Step 6: Final answer
    x = 2,777,320.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.