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Finding the Third Proportional to 692,064 and 1,501,632

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Solution

The third proportional to 692,064 and 1,501,632 is: 3,258,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,064 : 1,501,632 = 1,501,632 : x
  2. Step 2: Convert to fraction form
    692,064/1,501,632 = 1,501,632/x
  3. Step 3: Cross multiply
    692,064x = 1,501,632 × 1,501,632
  4. Step 4: Simplify right side
    692,064x = 2,254,898,663,424
  5. Step 5: Solve for x
    x = 2,254,898,663,424/692,064
  6. Step 6: Final answer
    x = 3,258,222.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.