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Finding the Third Proportional to 354,771,657 and 758,572,434

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Solution

The third proportional to 354,771,657 and 758,572,434 is: 1,621,978,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,771,657 : 758,572,434 = 758,572,434 : x
  2. Step 2: Convert to fraction form
    354,771,657/758,572,434 = 758,572,434/x
  3. Step 3: Cross multiply
    354,771,657x = 758,572,434 × 758,572,434
  4. Step 4: Simplify right side
    354,771,657x = 575,432,137,624,684,352
  5. Step 5: Solve for x
    x = 575,432,137,624,684,352/354,771,657
  6. Step 6: Final answer
    x = 1,621,978,887.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.