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Finding the Third Proportional to 746,654 and 1,009,389

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Solution

The third proportional to 746,654 and 1,009,389 is: 1,364,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,654 : 1,009,389 = 1,009,389 : x
  2. Step 2: Convert to fraction form
    746,654/1,009,389 = 1,009,389/x
  3. Step 3: Cross multiply
    746,654x = 1,009,389 × 1,009,389
  4. Step 4: Simplify right side
    746,654x = 1,018,866,153,321
  5. Step 5: Solve for x
    x = 1,018,866,153,321/746,654
  6. Step 6: Final answer
    x = 1,364,576.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.