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Finding the Third Proportional to 570,654 and 1,349,532

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Solution

The third proportional to 570,654 and 1,349,532 is: 3,191,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,654 : 1,349,532 = 1,349,532 : x
  2. Step 2: Convert to fraction form
    570,654/1,349,532 = 1,349,532/x
  3. Step 3: Cross multiply
    570,654x = 1,349,532 × 1,349,532
  4. Step 4: Simplify right side
    570,654x = 1,821,236,619,024
  5. Step 5: Solve for x
    x = 1,821,236,619,024/570,654
  6. Step 6: Final answer
    x = 3,191,490.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.