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Finding the Third Proportional to 1,596,465 and 3,547,233

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Solution

The third proportional to 1,596,465 and 3,547,233 is: 7,881,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,465 : 3,547,233 = 3,547,233 : x
  2. Step 2: Convert to fraction form
    1,596,465/3,547,233 = 3,547,233/x
  3. Step 3: Cross multiply
    1,596,465x = 3,547,233 × 3,547,233
  4. Step 4: Simplify right side
    1,596,465x = 12,582,861,956,289
  5. Step 5: Solve for x
    x = 12,582,861,956,289/1,596,465
  6. Step 6: Final answer
    x = 7,881,702.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.