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Finding the Third Proportional to 923,523,156 and 1,386,500,598

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Solution

The third proportional to 923,523,156 and 1,386,500,598 is: 2,081,576,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,523,156 : 1,386,500,598 = 1,386,500,598 : x
  2. Step 2: Convert to fraction form
    923,523,156/1,386,500,598 = 1,386,500,598/x
  3. Step 3: Cross multiply
    923,523,156x = 1,386,500,598 × 1,386,500,598
  4. Step 4: Simplify right side
    923,523,156x = 1,922,383,908,254,357,504
  5. Step 5: Solve for x
    x = 1,922,383,908,254,357,504/923,523,156
  6. Step 6: Final answer
    x = 2,081,576,293.75

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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.