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Finding the Third Proportional to 1,065,365.16 and 2,330,021.53

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Solution

The third proportional to 1,065,365.16 and 2,330,021.53 is: 5,095,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,365.16 : 2,330,021.53 = 2,330,021.53 : x
  2. Step 2: Convert to fraction form
    1,065,365.16/2,330,021.53 = 2,330,021.53/x
  3. Step 3: Cross multiply
    1,065,365.16x = 2,330,021.53 × 2,330,021.53
  4. Step 4: Simplify right side
    1,065,365.16x = 5,429,000,336,088.60
  5. Step 5: Solve for x
    x = 5,429,000,336,088.60/1,065,365.16
  6. Step 6: Final answer
    x = 5,095,905.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.