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Finding the Third Proportional to 986,415 and 2,155,470

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Solution

The third proportional to 986,415 and 2,155,470 is: 4,710,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,415 : 2,155,470 = 2,155,470 : x
  2. Step 2: Convert to fraction form
    986,415/2,155,470 = 2,155,470/x
  3. Step 3: Cross multiply
    986,415x = 2,155,470 × 2,155,470
  4. Step 4: Simplify right side
    986,415x = 4,646,050,920,900
  5. Step 5: Solve for x
    x = 4,646,050,920,900/986,415
  6. Step 6: Final answer
    x = 4,710,036.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.