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Finding the Third Proportional to 3,013,424 and 4,547,312

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Solution

The third proportional to 3,013,424 and 4,547,312 is: 6,861,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013,424 : 4,547,312 = 4,547,312 : x
  2. Step 2: Convert to fraction form
    3,013,424/4,547,312 = 4,547,312/x
  3. Step 3: Cross multiply
    3,013,424x = 4,547,312 × 4,547,312
  4. Step 4: Simplify right side
    3,013,424x = 20,678,046,425,344
  5. Step 5: Solve for x
    x = 20,678,046,425,344/3,013,424
  6. Step 6: Final answer
    x = 6,861,977.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.