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Finding the Third Proportional to 1,069,991,059 and 1,506,783,196

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Solution

The third proportional to 1,069,991,059 and 1,506,783,196 is: 2,121,882,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,991,059 : 1,506,783,196 = 1,506,783,196 : x
  2. Step 2: Convert to fraction form
    1,069,991,059/1,506,783,196 = 1,506,783,196/x
  3. Step 3: Cross multiply
    1,069,991,059x = 1,506,783,196 × 1,506,783,196
  4. Step 4: Simplify right side
    1,069,991,059x = 2,270,395,599,747,974,400
  5. Step 5: Solve for x
    x = 2,270,395,599,747,974,400/1,069,991,059
  6. Step 6: Final answer
    x = 2,121,882,777.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.