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Finding the Third Proportional to 976,428 and 1,478,412

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Solution

The third proportional to 976,428 and 1,478,412 is: 2,238,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,428 : 1,478,412 = 1,478,412 : x
  2. Step 2: Convert to fraction form
    976,428/1,478,412 = 1,478,412/x
  3. Step 3: Cross multiply
    976,428x = 1,478,412 × 1,478,412
  4. Step 4: Simplify right side
    976,428x = 2,185,702,041,744
  5. Step 5: Solve for x
    x = 2,185,702,041,744/976,428
  6. Step 6: Final answer
    x = 2,238,467.19

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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.