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Finding the Third Proportional to 698,326,938 and 1,050,405,921

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Solution

The third proportional to 698,326,938 and 1,050,405,921 is: 1,579,994,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,326,938 : 1,050,405,921 = 1,050,405,921 : x
  2. Step 2: Convert to fraction form
    698,326,938/1,050,405,921 = 1,050,405,921/x
  3. Step 3: Cross multiply
    698,326,938x = 1,050,405,921 × 1,050,405,921
  4. Step 4: Simplify right side
    698,326,938x = 1,103,352,598,871,858,304
  5. Step 5: Solve for x
    x = 1,103,352,598,871,858,304/698,326,938
  6. Step 6: Final answer
    x = 1,579,994,324.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.