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Finding the Third Proportional to 599,510,506 and 899,265,698

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Solution

The third proportional to 599,510,506 and 899,265,698 is: 1,348,898,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,510,506 : 899,265,698 = 899,265,698 : x
  2. Step 2: Convert to fraction form
    599,510,506/899,265,698 = 899,265,698/x
  3. Step 3: Cross multiply
    599,510,506x = 899,265,698 × 899,265,698
  4. Step 4: Simplify right side
    599,510,506x = 808,678,795,599,427,200
  5. Step 5: Solve for x
    x = 808,678,795,599,427,200/599,510,506
  6. Step 6: Final answer
    x = 1,348,898,455.50

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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.