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Finding the Third Proportional to 895,946,815 and 1,245,742,430

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Solution

The third proportional to 895,946,815 and 1,245,742,430 is: 1,732,105,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,946,815 : 1,245,742,430 = 1,245,742,430 : x
  2. Step 2: Convert to fraction form
    895,946,815/1,245,742,430 = 1,245,742,430/x
  3. Step 3: Cross multiply
    895,946,815x = 1,245,742,430 × 1,245,742,430
  4. Step 4: Simplify right side
    895,946,815x = 1,551,874,201,902,305,024
  5. Step 5: Solve for x
    x = 1,551,874,201,902,305,024/895,946,815
  6. Step 6: Final answer
    x = 1,732,105,272.23

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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.