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Finding the Third Proportional to 713,715 and 1,106,428.50

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Solution

The third proportional to 713,715 and 1,106,428.50 is: 1,715,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,715 : 1,106,428.50 = 1,106,428.50 : x
  2. Step 2: Convert to fraction form
    713,715/1,106,428.50 = 1,106,428.50/x
  3. Step 3: Cross multiply
    713,715x = 1,106,428.50 × 1,106,428.50
  4. Step 4: Simplify right side
    713,715x = 1,224,184,025,612.25
  5. Step 5: Solve for x
    x = 1,224,184,025,612.25/713,715
  6. Step 6: Final answer
    x = 1,715,228.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.