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Finding the Third Proportional to 1,878,927.38 and 4,116,950.63

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Solution

The third proportional to 1,878,927.38 and 4,116,950.63 is: 9,020,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,927.38 : 4,116,950.63 = 4,116,950.63 : x
  2. Step 2: Convert to fraction form
    1,878,927.38/4,116,950.63 = 4,116,950.63/x
  3. Step 3: Cross multiply
    1,878,927.38x = 4,116,950.63 × 4,116,950.63
  4. Step 4: Simplify right side
    1,878,927.38x = 16,949,282,448,687.89
  5. Step 5: Solve for x
    x = 16,949,282,448,687.89/1,878,927.38
  6. Step 6: Final answer
    x = 9,020,722.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.