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Finding the Third Proportional to 4,070,690.44 and 6,297,329.81

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Solution

The third proportional to 4,070,690.44 and 6,297,329.81 is: 9,741,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070,690.44 : 6,297,329.81 = 6,297,329.81 : x
  2. Step 2: Convert to fraction form
    4,070,690.44/6,297,329.81 = 6,297,329.81/x
  3. Step 3: Cross multiply
    4,070,690.44x = 6,297,329.81 × 6,297,329.81
  4. Step 4: Simplify right side
    4,070,690.44x = 39,656,362,767,401.28
  5. Step 5: Solve for x
    x = 39,656,362,767,401.28/4,070,690.44
  6. Step 6: Final answer
    x = 9,741,925.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.