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Finding the Third Proportional to 1,345,555.97 and 2,877,827.06

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Solution

The third proportional to 1,345,555.97 and 2,877,827.06 is: 6,154,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,555.97 : 2,877,827.06 = 2,877,827.06 : x
  2. Step 2: Convert to fraction form
    1,345,555.97/2,877,827.06 = 2,877,827.06/x
  3. Step 3: Cross multiply
    1,345,555.97x = 2,877,827.06 × 2,877,827.06
  4. Step 4: Simplify right side
    1,345,555.97x = 8,281,888,601,657.38
  5. Step 5: Solve for x
    x = 8,281,888,601,657.38/1,345,555.97
  6. Step 6: Final answer
    x = 6,154,993.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.