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Finding the Third Proportional to 604,174,907 and 1,301,315,083

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Solution

The third proportional to 604,174,907 and 1,301,315,083 is: 2,802,865,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,174,907 : 1,301,315,083 = 1,301,315,083 : x
  2. Step 2: Convert to fraction form
    604,174,907/1,301,315,083 = 1,301,315,083/x
  3. Step 3: Cross multiply
    604,174,907x = 1,301,315,083 × 1,301,315,083
  4. Step 4: Simplify right side
    604,174,907x = 1,693,420,945,243,296,768
  5. Step 5: Solve for x
    x = 1,693,420,945,243,296,768/604,174,907
  6. Step 6: Final answer
    x = 2,802,865,404.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.