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Finding the Third Proportional to 864,454 and 1,862,072

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Solution

The third proportional to 864,454 and 1,862,072 is: 4,010,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,454 : 1,862,072 = 1,862,072 : x
  2. Step 2: Convert to fraction form
    864,454/1,862,072 = 1,862,072/x
  3. Step 3: Cross multiply
    864,454x = 1,862,072 × 1,862,072
  4. Step 4: Simplify right side
    864,454x = 3,467,312,133,184
  5. Step 5: Solve for x
    x = 3,467,312,133,184/864,454
  6. Step 6: Final answer
    x = 4,010,985.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.