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Finding the Third Proportional to 530,320 and 1,152,854

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Solution

The third proportional to 530,320 and 1,152,854 is: 2,506,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,320 : 1,152,854 = 1,152,854 : x
  2. Step 2: Convert to fraction form
    530,320/1,152,854 = 1,152,854/x
  3. Step 3: Cross multiply
    530,320x = 1,152,854 × 1,152,854
  4. Step 4: Simplify right side
    530,320x = 1,329,072,345,316
  5. Step 5: Solve for x
    x = 1,329,072,345,316/530,320
  6. Step 6: Final answer
    x = 2,506,170.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.