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Finding the Third Proportional to 604,752 and 1,320,024

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Solution

The third proportional to 604,752 and 1,320,024 is: 2,881,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,752 : 1,320,024 = 1,320,024 : x
  2. Step 2: Convert to fraction form
    604,752/1,320,024 = 1,320,024/x
  3. Step 3: Cross multiply
    604,752x = 1,320,024 × 1,320,024
  4. Step 4: Simplify right side
    604,752x = 1,742,463,360,576
  5. Step 5: Solve for x
    x = 1,742,463,360,576/604,752
  6. Step 6: Final answer
    x = 2,881,285.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.