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Finding the Third Proportional to 975,902 and 1,477,461

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Solution

The third proportional to 975,902 and 1,477,461 is: 2,236,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,902 : 1,477,461 = 1,477,461 : x
  2. Step 2: Convert to fraction form
    975,902/1,477,461 = 1,477,461/x
  3. Step 3: Cross multiply
    975,902x = 1,477,461 × 1,477,461
  4. Step 4: Simplify right side
    975,902x = 2,182,891,006,521
  5. Step 5: Solve for x
    x = 2,182,891,006,521/975,902
  6. Step 6: Final answer
    x = 2,236,793.25

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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.