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Finding the Third Proportional to 899,502 and 1,948,473

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Solution

The third proportional to 899,502 and 1,948,473 is: 4,220,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,502 : 1,948,473 = 1,948,473 : x
  2. Step 2: Convert to fraction form
    899,502/1,948,473 = 1,948,473/x
  3. Step 3: Cross multiply
    899,502x = 1,948,473 × 1,948,473
  4. Step 4: Simplify right side
    899,502x = 3,796,547,031,729
  5. Step 5: Solve for x
    x = 3,796,547,031,729/899,502
  6. Step 6: Final answer
    x = 4,220,721.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.