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Finding the Third Proportional to 917,570 and 1,975,756

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Solution

The third proportional to 917,570 and 1,975,756 is: 4,254,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,570 : 1,975,756 = 1,975,756 : x
  2. Step 2: Convert to fraction form
    917,570/1,975,756 = 1,975,756/x
  3. Step 3: Cross multiply
    917,570x = 1,975,756 × 1,975,756
  4. Step 4: Simplify right side
    917,570x = 3,903,611,771,536
  5. Step 5: Solve for x
    x = 3,903,611,771,536/917,570
  6. Step 6: Final answer
    x = 4,254,293.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.