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Finding the Third Proportional to 895,946,814 and 1,245,742,429

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Solution

The third proportional to 895,946,814 and 1,245,742,429 is: 1,732,105,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,946,814 : 1,245,742,429 = 1,245,742,429 : x
  2. Step 2: Convert to fraction form
    895,946,814/1,245,742,429 = 1,245,742,429/x
  3. Step 3: Cross multiply
    895,946,814x = 1,245,742,429 × 1,245,742,429
  4. Step 4: Simplify right side
    895,946,814x = 1,551,874,199,410,820,096
  5. Step 5: Solve for x
    x = 1,551,874,199,410,820,096/895,946,814
  6. Step 6: Final answer
    x = 1,732,105,271.39

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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.