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Finding the Third Proportional to 829,946 and 1,317,495

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Solution

The third proportional to 829,946 and 1,317,495 is: 2,091,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,946 : 1,317,495 = 1,317,495 : x
  2. Step 2: Convert to fraction form
    829,946/1,317,495 = 1,317,495/x
  3. Step 3: Cross multiply
    829,946x = 1,317,495 × 1,317,495
  4. Step 4: Simplify right side
    829,946x = 1,735,793,075,025
  5. Step 5: Solve for x
    x = 1,735,793,075,025/829,946
  6. Step 6: Final answer
    x = 2,091,453.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.