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Finding the Third Proportional to 1,605,720.39 and 3,746,807.27

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Solution

The third proportional to 1,605,720.39 and 3,746,807.27 is: 8,742,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,720.39 : 3,746,807.27 = 3,746,807.27 : x
  2. Step 2: Convert to fraction form
    1,605,720.39/3,746,807.27 = 3,746,807.27/x
  3. Step 3: Cross multiply
    1,605,720.39x = 3,746,807.27 × 3,746,807.27
  4. Step 4: Simplify right side
    1,605,720.39x = 14,038,564,722,330.86
  5. Step 5: Solve for x
    x = 14,038,564,722,330.86/1,605,720.39
  6. Step 6: Final answer
    x = 8,742,845.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.