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Finding the Third Proportional to 457,232 and 977,514

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Solution

The third proportional to 457,232 and 977,514 is: 2,089,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,232 : 977,514 = 977,514 : x
  2. Step 2: Convert to fraction form
    457,232/977,514 = 977,514/x
  3. Step 3: Cross multiply
    457,232x = 977,514 × 977,514
  4. Step 4: Simplify right side
    457,232x = 955,533,620,196
  5. Step 5: Solve for x
    x = 955,533,620,196/457,232
  6. Step 6: Final answer
    x = 2,089,822.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.