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Finding the Third Proportional to 895,946,816 and 1,245,742,432

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Solution

The third proportional to 895,946,816 and 1,245,742,432 is: 1,732,105,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,946,816 : 1,245,742,432 = 1,245,742,432 : x
  2. Step 2: Convert to fraction form
    895,946,816/1,245,742,432 = 1,245,742,432/x
  3. Step 3: Cross multiply
    895,946,816x = 1,245,742,432 × 1,245,742,432
  4. Step 4: Simplify right side
    895,946,816x = 1,551,874,206,885,274,624
  5. Step 5: Solve for x
    x = 1,551,874,206,885,274,624/895,946,816
  6. Step 6: Final answer
    x = 1,732,105,275.86

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