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Finding the Third Proportional to 306,898,944 and 657,572,832

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Solution

The third proportional to 306,898,944 and 657,572,832 is: 1,408,939,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,898,944 : 657,572,832 = 657,572,832 : x
  2. Step 2: Convert to fraction form
    306,898,944/657,572,832 = 657,572,832/x
  3. Step 3: Cross multiply
    306,898,944x = 657,572,832 × 657,572,832
  4. Step 4: Simplify right side
    306,898,944x = 432,402,029,384,500,224
  5. Step 5: Solve for x
    x = 432,402,029,384,500,224/306,898,944
  6. Step 6: Final answer
    x = 1,408,939,450.06

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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.