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Finding the Third Proportional to 897,306 and 1,935,498

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Solution

The third proportional to 897,306 and 1,935,498 is: 4,174,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,306 : 1,935,498 = 1,935,498 : x
  2. Step 2: Convert to fraction form
    897,306/1,935,498 = 1,935,498/x
  3. Step 3: Cross multiply
    897,306x = 1,935,498 × 1,935,498
  4. Step 4: Simplify right side
    897,306x = 3,746,152,508,004
  5. Step 5: Solve for x
    x = 3,746,152,508,004/897,306
  6. Step 6: Final answer
    x = 4,174,888.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.