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Finding the Third Proportional to 702,031 and 1,369,070

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Solution

The third proportional to 702,031 and 1,369,070 is: 2,669,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,031 : 1,369,070 = 1,369,070 : x
  2. Step 2: Convert to fraction form
    702,031/1,369,070 = 1,369,070/x
  3. Step 3: Cross multiply
    702,031x = 1,369,070 × 1,369,070
  4. Step 4: Simplify right side
    702,031x = 1,874,352,664,900
  5. Step 5: Solve for x
    x = 1,874,352,664,900/702,031
  6. Step 6: Final answer
    x = 2,669,900.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.