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Finding the Third Proportional to 712,564 and 1,045,518

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Solution

The third proportional to 712,564 and 1,045,518 is: 1,534,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,564 : 1,045,518 = 1,045,518 : x
  2. Step 2: Convert to fraction form
    712,564/1,045,518 = 1,045,518/x
  3. Step 3: Cross multiply
    712,564x = 1,045,518 × 1,045,518
  4. Step 4: Simplify right side
    712,564x = 1,093,107,888,324
  5. Step 5: Solve for x
    x = 1,093,107,888,324/712,564
  6. Step 6: Final answer
    x = 1,534,048.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.