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Finding the Third Proportional to 647,152 and 1,411,095

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Solution

The third proportional to 647,152 and 1,411,095 is: 3,076,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,152 : 1,411,095 = 1,411,095 : x
  2. Step 2: Convert to fraction form
    647,152/1,411,095 = 1,411,095/x
  3. Step 3: Cross multiply
    647,152x = 1,411,095 × 1,411,095
  4. Step 4: Simplify right side
    647,152x = 1,991,189,099,025
  5. Step 5: Solve for x
    x = 1,991,189,099,025/647,152
  6. Step 6: Final answer
    x = 3,076,849.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.