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Finding the Third Proportional to 1,999,004.63 and 2,923,534.13

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Solution

The third proportional to 1,999,004.63 and 2,923,534.13 is: 4,275,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,004.63 : 2,923,534.13 = 2,923,534.13 : x
  2. Step 2: Convert to fraction form
    1,999,004.63/2,923,534.13 = 2,923,534.13/x
  3. Step 3: Cross multiply
    1,999,004.63x = 2,923,534.13 × 2,923,534.13
  4. Step 4: Simplify right side
    1,999,004.63x = 8,547,051,780,039.52
  5. Step 5: Solve for x
    x = 8,547,051,780,039.52/1,999,004.63
  6. Step 6: Final answer
    x = 4,275,653.83

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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.