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Finding the Third Proportional to 975,908,898 and 1,486,734,750

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Solution

The third proportional to 975,908,898 and 1,486,734,750 is: 2,264,945,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,908,898 : 1,486,734,750 = 1,486,734,750 : x
  2. Step 2: Convert to fraction form
    975,908,898/1,486,734,750 = 1,486,734,750/x
  3. Step 3: Cross multiply
    975,908,898x = 1,486,734,750 × 1,486,734,750
  4. Step 4: Simplify right side
    975,908,898x = 2,210,380,216,857,562,624
  5. Step 5: Solve for x
    x = 2,210,380,216,857,562,624/975,908,898
  6. Step 6: Final answer
    x = 2,264,945,243.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.