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Finding the Third Proportional to 719,678 and 1,075,557

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Solution

The third proportional to 719,678 and 1,075,557 is: 1,607,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,678 : 1,075,557 = 1,075,557 : x
  2. Step 2: Convert to fraction form
    719,678/1,075,557 = 1,075,557/x
  3. Step 3: Cross multiply
    719,678x = 1,075,557 × 1,075,557
  4. Step 4: Simplify right side
    719,678x = 1,156,822,860,249
  5. Step 5: Solve for x
    x = 1,156,822,860,249/719,678
  6. Step 6: Final answer
    x = 1,607,417.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.