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Finding the Third Proportional to 948,820.50 and 1,387,643.06

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Solution

The third proportional to 948,820.50 and 1,387,643.06 is: 2,029,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,820.50 : 1,387,643.06 = 1,387,643.06 : x
  2. Step 2: Convert to fraction form
    948,820.50/1,387,643.06 = 1,387,643.06/x
  3. Step 3: Cross multiply
    948,820.50x = 1,387,643.06 × 1,387,643.06
  4. Step 4: Simplify right side
    948,820.50x = 1,925,553,268,904.38
  5. Step 5: Solve for x
    x = 1,925,553,268,904.38/948,820.50
  6. Step 6: Final answer
    x = 2,029,417.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.