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Finding the Third Proportional to 997,308 and 2,053,428

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Solution

The third proportional to 997,308 and 2,053,428 is: 4,227,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,308 : 2,053,428 = 2,053,428 : x
  2. Step 2: Convert to fraction form
    997,308/2,053,428 = 2,053,428/x
  3. Step 3: Cross multiply
    997,308x = 2,053,428 × 2,053,428
  4. Step 4: Simplify right side
    997,308x = 4,216,566,551,184
  5. Step 5: Solve for x
    x = 4,216,566,551,184/997,308
  6. Step 6: Final answer
    x = 4,227,948.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.