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Finding the Third Proportional to 536,547 and 1,137,064.50

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Solution

The third proportional to 536,547 and 1,137,064.50 is: 2,409,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,547 : 1,137,064.50 = 1,137,064.50 : x
  2. Step 2: Convert to fraction form
    536,547/1,137,064.50 = 1,137,064.50/x
  3. Step 3: Cross multiply
    536,547x = 1,137,064.50 × 1,137,064.50
  4. Step 4: Simplify right side
    536,547x = 1,292,915,677,160.25
  5. Step 5: Solve for x
    x = 1,292,915,677,160.25/536,547
  6. Step 6: Final answer
    x = 2,409,696.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.