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Finding the Third Proportional to 709,621 and 1,537,353

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Solution

The third proportional to 709,621 and 1,537,353 is: 3,330,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,621 : 1,537,353 = 1,537,353 : x
  2. Step 2: Convert to fraction form
    709,621/1,537,353 = 1,537,353/x
  3. Step 3: Cross multiply
    709,621x = 1,537,353 × 1,537,353
  4. Step 4: Simplify right side
    709,621x = 2,363,454,246,609
  5. Step 5: Solve for x
    x = 2,363,454,246,609/709,621
  6. Step 6: Final answer
    x = 3,330,586.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.