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Finding the Third Proportional to 489,582 and 1,075,518

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Solution

The third proportional to 489,582 and 1,075,518 is: 2,362,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,582 : 1,075,518 = 1,075,518 : x
  2. Step 2: Convert to fraction form
    489,582/1,075,518 = 1,075,518/x
  3. Step 3: Cross multiply
    489,582x = 1,075,518 × 1,075,518
  4. Step 4: Simplify right side
    489,582x = 1,156,738,968,324
  5. Step 5: Solve for x
    x = 1,156,738,968,324/489,582
  6. Step 6: Final answer
    x = 2,362,707.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.