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Finding the Third Proportional to 3,281,547.94 and 4,967,595.84

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Solution

The third proportional to 3,281,547.94 and 4,967,595.84 is: 7,519,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,547.94 : 4,967,595.84 = 4,967,595.84 : x
  2. Step 2: Convert to fraction form
    3,281,547.94/4,967,595.84 = 4,967,595.84/x
  3. Step 3: Cross multiply
    3,281,547.94x = 4,967,595.84 × 4,967,595.84
  4. Step 4: Simplify right side
    3,281,547.94x = 24,677,008,466,842.27
  5. Step 5: Solve for x
    x = 24,677,008,466,842.27/3,281,547.94
  6. Step 6: Final answer
    x = 7,519,929.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.