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Finding the Third Proportional to 2,927,664 and 4,432,320

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Solution

The third proportional to 2,927,664 and 4,432,320 is: 6,710,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927,664 : 4,432,320 = 4,432,320 : x
  2. Step 2: Convert to fraction form
    2,927,664/4,432,320 = 4,432,320/x
  3. Step 3: Cross multiply
    2,927,664x = 4,432,320 × 4,432,320
  4. Step 4: Simplify right side
    2,927,664x = 19,645,460,582,400
  5. Step 5: Solve for x
    x = 19,645,460,582,400/2,927,664
  6. Step 6: Final answer
    x = 6,710,285.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.