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Finding the Third Proportional to 786,301 and 1,202,312

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Solution

The third proportional to 786,301 and 1,202,312 is: 1,838,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,301 : 1,202,312 = 1,202,312 : x
  2. Step 2: Convert to fraction form
    786,301/1,202,312 = 1,202,312/x
  3. Step 3: Cross multiply
    786,301x = 1,202,312 × 1,202,312
  4. Step 4: Simplify right side
    786,301x = 1,445,554,145,344
  5. Step 5: Solve for x
    x = 1,445,554,145,344/786,301
  6. Step 6: Final answer
    x = 1,838,423.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.