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Finding the Third Proportional to 710,948 and 1,559,664

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Solution

The third proportional to 710,948 and 1,559,664 is: 3,421,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,948 : 1,559,664 = 1,559,664 : x
  2. Step 2: Convert to fraction form
    710,948/1,559,664 = 1,559,664/x
  3. Step 3: Cross multiply
    710,948x = 1,559,664 × 1,559,664
  4. Step 4: Simplify right side
    710,948x = 2,432,551,792,896
  5. Step 5: Solve for x
    x = 2,432,551,792,896/710,948
  6. Step 6: Final answer
    x = 3,421,560.78

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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.