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Finding the Third Proportional to 597,752 and 1,289,964

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Solution

The third proportional to 597,752 and 1,289,964 is: 2,783,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,752 : 1,289,964 = 1,289,964 : x
  2. Step 2: Convert to fraction form
    597,752/1,289,964 = 1,289,964/x
  3. Step 3: Cross multiply
    597,752x = 1,289,964 × 1,289,964
  4. Step 4: Simplify right side
    597,752x = 1,664,007,121,296
  5. Step 5: Solve for x
    x = 1,664,007,121,296/597,752
  6. Step 6: Final answer
    x = 2,783,775.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.