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Finding the Third Proportional to 1,143,513 and 1,683,585

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Solution

The third proportional to 1,143,513 and 1,683,585 is: 2,478,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,513 : 1,683,585 = 1,683,585 : x
  2. Step 2: Convert to fraction form
    1,143,513/1,683,585 = 1,683,585/x
  3. Step 3: Cross multiply
    1,143,513x = 1,683,585 × 1,683,585
  4. Step 4: Simplify right side
    1,143,513x = 2,834,458,452,225
  5. Step 5: Solve for x
    x = 2,834,458,452,225/1,143,513
  6. Step 6: Final answer
    x = 2,478,728.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.