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Finding the Third Proportional to 306,898,954 and 657,572,852

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Solution

The third proportional to 306,898,954 and 657,572,852 is: 1,408,939,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,898,954 : 657,572,852 = 657,572,852 : x
  2. Step 2: Convert to fraction form
    306,898,954/657,572,852 = 657,572,852/x
  3. Step 3: Cross multiply
    306,898,954x = 657,572,852 × 657,572,852
  4. Step 4: Simplify right side
    306,898,954x = 432,402,055,687,413,888
  5. Step 5: Solve for x
    x = 432,402,055,687,413,888/306,898,954
  6. Step 6: Final answer
    x = 1,408,939,489.86

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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.