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Finding the Third Proportional to 954,972 and 1,490,580

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Solution

The third proportional to 954,972 and 1,490,580 is: 2,326,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,972 : 1,490,580 = 1,490,580 : x
  2. Step 2: Convert to fraction form
    954,972/1,490,580 = 1,490,580/x
  3. Step 3: Cross multiply
    954,972x = 1,490,580 × 1,490,580
  4. Step 4: Simplify right side
    954,972x = 2,221,828,736,400
  5. Step 5: Solve for x
    x = 2,221,828,736,400/954,972
  6. Step 6: Final answer
    x = 2,326,590.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.