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Finding the Third Proportional to 712,854 and 1,037,178

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Solution

The third proportional to 712,854 and 1,037,178 is: 1,509,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,854 : 1,037,178 = 1,037,178 : x
  2. Step 2: Convert to fraction form
    712,854/1,037,178 = 1,037,178/x
  3. Step 3: Cross multiply
    712,854x = 1,037,178 × 1,037,178
  4. Step 4: Simplify right side
    712,854x = 1,075,738,203,684
  5. Step 5: Solve for x
    x = 1,075,738,203,684/712,854
  6. Step 6: Final answer
    x = 1,509,058.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.