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Finding the Third Proportional to 424,249,573 and 654,533,777

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Solution

The third proportional to 424,249,573 and 654,533,777 is: 1,009,817,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,249,573 : 654,533,777 = 654,533,777 : x
  2. Step 2: Convert to fraction form
    424,249,573/654,533,777 = 654,533,777/x
  3. Step 3: Cross multiply
    424,249,573x = 654,533,777 × 654,533,777
  4. Step 4: Simplify right side
    424,249,573x = 428,414,465,233,885,760
  5. Step 5: Solve for x
    x = 428,414,465,233,885,760/424,249,573
  6. Step 6: Final answer
    x = 1,009,817,080.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.