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Finding the Third Proportional to 975,906 and 1,477,467

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Solution

The third proportional to 975,906 and 1,477,467 is: 2,236,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,906 : 1,477,467 = 1,477,467 : x
  2. Step 2: Convert to fraction form
    975,906/1,477,467 = 1,477,467/x
  3. Step 3: Cross multiply
    975,906x = 1,477,467 × 1,477,467
  4. Step 4: Simplify right side
    975,906x = 2,182,908,736,089
  5. Step 5: Solve for x
    x = 2,182,908,736,089/975,906
  6. Step 6: Final answer
    x = 2,236,802.25

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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.