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Finding the Third Proportional to 577,632 and 1,266,852

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Solution

The third proportional to 577,632 and 1,266,852 is: 2,778,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,632 : 1,266,852 = 1,266,852 : x
  2. Step 2: Convert to fraction form
    577,632/1,266,852 = 1,266,852/x
  3. Step 3: Cross multiply
    577,632x = 1,266,852 × 1,266,852
  4. Step 4: Simplify right side
    577,632x = 1,604,913,989,904
  5. Step 5: Solve for x
    x = 1,604,913,989,904/577,632
  6. Step 6: Final answer
    x = 2,778,436.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.