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Finding the Third Proportional to 709,044 and 1,019,275

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Solution

The third proportional to 709,044 and 1,019,275 is: 1,465,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,044 : 1,019,275 = 1,019,275 : x
  2. Step 2: Convert to fraction form
    709,044/1,019,275 = 1,019,275/x
  3. Step 3: Cross multiply
    709,044x = 1,019,275 × 1,019,275
  4. Step 4: Simplify right side
    709,044x = 1,038,921,525,625
  5. Step 5: Solve for x
    x = 1,038,921,525,625/709,044
  6. Step 6: Final answer
    x = 1,465,242.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.