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Finding the Third Proportional to 712,621 and 1,537,346

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Solution

The third proportional to 712,621 and 1,537,346 is: 3,316,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,621 : 1,537,346 = 1,537,346 : x
  2. Step 2: Convert to fraction form
    712,621/1,537,346 = 1,537,346/x
  3. Step 3: Cross multiply
    712,621x = 1,537,346 × 1,537,346
  4. Step 4: Simplify right side
    712,621x = 2,363,432,723,716
  5. Step 5: Solve for x
    x = 2,363,432,723,716/712,621
  6. Step 6: Final answer
    x = 3,316,535.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.