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Finding the Third Proportional to 537,904 and 1,170,428

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Solution

The third proportional to 537,904 and 1,170,428 is: 2,546,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,904 : 1,170,428 = 1,170,428 : x
  2. Step 2: Convert to fraction form
    537,904/1,170,428 = 1,170,428/x
  3. Step 3: Cross multiply
    537,904x = 1,170,428 × 1,170,428
  4. Step 4: Simplify right side
    537,904x = 1,369,901,703,184
  5. Step 5: Solve for x
    x = 1,369,901,703,184/537,904
  6. Step 6: Final answer
    x = 2,546,740.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.