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Finding the Third Proportional to 647,964 and 912,075

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Solution

The third proportional to 647,964 and 912,075 is: 1,283,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,964 : 912,075 = 912,075 : x
  2. Step 2: Convert to fraction form
    647,964/912,075 = 912,075/x
  3. Step 3: Cross multiply
    647,964x = 912,075 × 912,075
  4. Step 4: Simplify right side
    647,964x = 831,880,805,625
  5. Step 5: Solve for x
    x = 831,880,805,625/647,964
  6. Step 6: Final answer
    x = 1,283,838.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.