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Finding the Third Proportional to 912,184 and 1,430,939

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Solution

The third proportional to 912,184 and 1,430,939 is: 2,244,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,184 : 1,430,939 = 1,430,939 : x
  2. Step 2: Convert to fraction form
    912,184/1,430,939 = 1,430,939/x
  3. Step 3: Cross multiply
    912,184x = 1,430,939 × 1,430,939
  4. Step 4: Simplify right side
    912,184x = 2,047,586,421,721
  5. Step 5: Solve for x
    x = 2,047,586,421,721/912,184
  6. Step 6: Final answer
    x = 2,244,707.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.