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Finding the Third Proportional to 746,528 and 1,125,968

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Solution

The third proportional to 746,528 and 1,125,968 is: 1,698,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,528 : 1,125,968 = 1,125,968 : x
  2. Step 2: Convert to fraction form
    746,528/1,125,968 = 1,125,968/x
  3. Step 3: Cross multiply
    746,528x = 1,125,968 × 1,125,968
  4. Step 4: Simplify right side
    746,528x = 1,267,803,937,024
  5. Step 5: Solve for x
    x = 1,267,803,937,024/746,528
  6. Step 6: Final answer
    x = 1,698,267.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.