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Finding the Third Proportional to 1,688,657 and 2,488,335

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Solution

The third proportional to 1,688,657 and 2,488,335 is: 3,666,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,657 : 2,488,335 = 2,488,335 : x
  2. Step 2: Convert to fraction form
    1,688,657/2,488,335 = 2,488,335/x
  3. Step 3: Cross multiply
    1,688,657x = 2,488,335 × 2,488,335
  4. Step 4: Simplify right side
    1,688,657x = 6,191,811,072,225
  5. Step 5: Solve for x
    x = 6,191,811,072,225/1,688,657
  6. Step 6: Final answer
    x = 3,666,707.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.