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Finding the Third Proportional to 1,402,336.86 and 2,005,167.18

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Solution

The third proportional to 1,402,336.86 and 2,005,167.18 is: 2,867,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,336.86 : 2,005,167.18 = 2,005,167.18 : x
  2. Step 2: Convert to fraction form
    1,402,336.86/2,005,167.18 = 2,005,167.18/x
  3. Step 3: Cross multiply
    1,402,336.86x = 2,005,167.18 × 2,005,167.18
  4. Step 4: Simplify right side
    1,402,336.86x = 4,020,695,426,328.51
  5. Step 5: Solve for x
    x = 4,020,695,426,328.51/1,402,336.86
  6. Step 6: Final answer
    x = 2,867,139.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.