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Finding the Third Proportional to 895,946,812 and 1,245,742,426

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Solution

The third proportional to 895,946,812 and 1,245,742,426 is: 1,732,105,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,946,812 : 1,245,742,426 = 1,245,742,426 : x
  2. Step 2: Convert to fraction form
    895,946,812/1,245,742,426 = 1,245,742,426/x
  3. Step 3: Cross multiply
    895,946,812x = 1,245,742,426 × 1,245,742,426
  4. Step 4: Simplify right side
    895,946,812x = 1,551,874,191,936,365,568
  5. Step 5: Solve for x
    x = 1,551,874,191,936,365,568/895,946,812
  6. Step 6: Final answer
    x = 1,732,105,266.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.