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Finding the Third Proportional to 723,465 and 1,064,286

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Solution

The third proportional to 723,465 and 1,064,286 is: 1,565,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,465 : 1,064,286 = 1,064,286 : x
  2. Step 2: Convert to fraction form
    723,465/1,064,286 = 1,064,286/x
  3. Step 3: Cross multiply
    723,465x = 1,064,286 × 1,064,286
  4. Step 4: Simplify right side
    723,465x = 1,132,704,689,796
  5. Step 5: Solve for x
    x = 1,132,704,689,796/723,465
  6. Step 6: Final answer
    x = 1,565,666.19

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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.