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Finding the Third Proportional to 713,465 and 1,044,602

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Solution

The third proportional to 713,465 and 1,044,602 is: 1,529,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,465 : 1,044,602 = 1,044,602 : x
  2. Step 2: Convert to fraction form
    713,465/1,044,602 = 1,044,602/x
  3. Step 3: Cross multiply
    713,465x = 1,044,602 × 1,044,602
  4. Step 4: Simplify right side
    713,465x = 1,091,193,338,404
  5. Step 5: Solve for x
    x = 1,091,193,338,404/713,465
  6. Step 6: Final answer
    x = 1,529,427.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.