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Finding the Third Proportional to 763,312 and 1,121,632

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Solution

The third proportional to 763,312 and 1,121,632 is: 1,648,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,312 : 1,121,632 = 1,121,632 : x
  2. Step 2: Convert to fraction form
    763,312/1,121,632 = 1,121,632/x
  3. Step 3: Cross multiply
    763,312x = 1,121,632 × 1,121,632
  4. Step 4: Simplify right side
    763,312x = 1,258,058,343,424
  5. Step 5: Solve for x
    x = 1,258,058,343,424/763,312
  6. Step 6: Final answer
    x = 1,648,157.43

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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.