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Finding the Third Proportional to 370,254,512 and 771,154,767

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Solution

The third proportional to 370,254,512 and 771,154,767 is: 1,606,137,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,254,512 : 771,154,767 = 771,154,767 : x
  2. Step 2: Convert to fraction form
    370,254,512/771,154,767 = 771,154,767/x
  3. Step 3: Cross multiply
    370,254,512x = 771,154,767 × 771,154,767
  4. Step 4: Simplify right side
    370,254,512x = 594,679,674,666,824,320
  5. Step 5: Solve for x
    x = 594,679,674,666,824,320/370,254,512
  6. Step 6: Final answer
    x = 1,606,137,549.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.