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Finding the Third Proportional to 972,814 and 1,554,076

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Solution

The third proportional to 972,814 and 1,554,076 is: 2,482,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,814 : 1,554,076 = 1,554,076 : x
  2. Step 2: Convert to fraction form
    972,814/1,554,076 = 1,554,076/x
  3. Step 3: Cross multiply
    972,814x = 1,554,076 × 1,554,076
  4. Step 4: Simplify right side
    972,814x = 2,415,152,213,776
  5. Step 5: Solve for x
    x = 2,415,152,213,776/972,814
  6. Step 6: Final answer
    x = 2,482,645.41

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.