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Finding the Third Proportional to 644,004 and 946,312

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Solution

The third proportional to 644,004 and 946,312 is: 1,390,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,004 : 946,312 = 946,312 : x
  2. Step 2: Convert to fraction form
    644,004/946,312 = 946,312/x
  3. Step 3: Cross multiply
    644,004x = 946,312 × 946,312
  4. Step 4: Simplify right side
    644,004x = 895,506,401,344
  5. Step 5: Solve for x
    x = 895,506,401,344/644,004
  6. Step 6: Final answer
    x = 1,390,529.25

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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.