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Finding the Third Proportional to 714,539 and 1,573,011

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Solution

The third proportional to 714,539 and 1,573,011 is: 3,462,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,539 : 1,573,011 = 1,573,011 : x
  2. Step 2: Convert to fraction form
    714,539/1,573,011 = 1,573,011/x
  3. Step 3: Cross multiply
    714,539x = 1,573,011 × 1,573,011
  4. Step 4: Simplify right side
    714,539x = 2,474,363,606,121
  5. Step 5: Solve for x
    x = 2,474,363,606,121/714,539
  6. Step 6: Final answer
    x = 3,462,881.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.