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Finding the Third Proportional to 604,174,911 and 1,301,315,082

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Solution

The third proportional to 604,174,911 and 1,301,315,082 is: 2,802,865,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,174,911 : 1,301,315,082 = 1,301,315,082 : x
  2. Step 2: Convert to fraction form
    604,174,911/1,301,315,082 = 1,301,315,082/x
  3. Step 3: Cross multiply
    604,174,911x = 1,301,315,082 × 1,301,315,082
  4. Step 4: Simplify right side
    604,174,911x = 1,693,420,942,640,666,624
  5. Step 5: Solve for x
    x = 1,693,420,942,640,666,624/604,174,911
  6. Step 6: Final answer
    x = 2,802,865,381.88

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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.