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Finding the Third Proportional to 3,734,232 and 5,678,830.50

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Solution

The third proportional to 3,734,232 and 5,678,830.50 is: 8,636,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734,232 : 5,678,830.50 = 5,678,830.50 : x
  2. Step 2: Convert to fraction form
    3,734,232/5,678,830.50 = 5,678,830.50/x
  3. Step 3: Cross multiply
    3,734,232x = 5,678,830.50 × 5,678,830.50
  4. Step 4: Simplify right side
    3,734,232x = 32,249,115,847,730.25
  5. Step 5: Solve for x
    x = 32,249,115,847,730.25/3,734,232
  6. Step 6: Final answer
    x = 8,636,077.20

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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.