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Finding the Third Proportional to 1,711,919.81 and 4,048,501.50

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Solution

The third proportional to 1,711,919.81 and 4,048,501.50 is: 9,574,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711,919.81 : 4,048,501.50 = 4,048,501.50 : x
  2. Step 2: Convert to fraction form
    1,711,919.81/4,048,501.50 = 4,048,501.50/x
  3. Step 3: Cross multiply
    1,711,919.81x = 4,048,501.50 × 4,048,501.50
  4. Step 4: Simplify right side
    1,711,919.81x = 16,390,364,395,502.25
  5. Step 5: Solve for x
    x = 16,390,364,395,502.25/1,711,919.81
  6. Step 6: Final answer
    x = 9,574,259.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.