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Finding the Third Proportional to 370,045,974 and 822,810,588

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Solution

The third proportional to 370,045,974 and 822,810,588 is: 1,829,549,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,045,974 : 822,810,588 = 822,810,588 : x
  2. Step 2: Convert to fraction form
    370,045,974/822,810,588 = 822,810,588/x
  3. Step 3: Cross multiply
    370,045,974x = 822,810,588 × 822,810,588
  4. Step 4: Simplify right side
    370,045,974x = 677,017,263,724,905,728
  5. Step 5: Solve for x
    x = 677,017,263,724,905,728/370,045,974
  6. Step 6: Final answer
    x = 1,829,549,059.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.