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Finding the Third Proportional to 895,461 and 1,935,264

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Solution

The third proportional to 895,461 and 1,935,264 is: 4,182,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,461 : 1,935,264 = 1,935,264 : x
  2. Step 2: Convert to fraction form
    895,461/1,935,264 = 1,935,264/x
  3. Step 3: Cross multiply
    895,461x = 1,935,264 × 1,935,264
  4. Step 4: Simplify right side
    895,461x = 3,745,246,749,696
  5. Step 5: Solve for x
    x = 3,745,246,749,696/895,461
  6. Step 6: Final answer
    x = 4,182,478.91

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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.