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Finding the Third Proportional to 2,973,442.50 and 4,726,005.75

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Solution

The third proportional to 2,973,442.50 and 4,726,005.75 is: 7,511,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973,442.50 : 4,726,005.75 = 4,726,005.75 : x
  2. Step 2: Convert to fraction form
    2,973,442.50/4,726,005.75 = 4,726,005.75/x
  3. Step 3: Cross multiply
    2,973,442.50x = 4,726,005.75 × 4,726,005.75
  4. Step 4: Simplify right side
    2,973,442.50x = 22,335,130,349,033.06
  5. Step 5: Solve for x
    x = 22,335,130,349,033.06/2,973,442.50
  6. Step 6: Final answer
    x = 7,511,539.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.