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Finding the Third Proportional to 1,059,533 and 1,585,066

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Solution

The third proportional to 1,059,533 and 1,585,066 is: 2,371,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,533 : 1,585,066 = 1,585,066 : x
  2. Step 2: Convert to fraction form
    1,059,533/1,585,066 = 1,585,066/x
  3. Step 3: Cross multiply
    1,059,533x = 1,585,066 × 1,585,066
  4. Step 4: Simplify right side
    1,059,533x = 2,512,434,224,356
  5. Step 5: Solve for x
    x = 2,512,434,224,356/1,059,533
  6. Step 6: Final answer
    x = 2,371,265.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.