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Finding the Third Proportional to 994,528 and 1,529,547

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Solution

The third proportional to 994,528 and 1,529,547 is: 2,352,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,528 : 1,529,547 = 1,529,547 : x
  2. Step 2: Convert to fraction form
    994,528/1,529,547 = 1,529,547/x
  3. Step 3: Cross multiply
    994,528x = 1,529,547 × 1,529,547
  4. Step 4: Simplify right side
    994,528x = 2,339,514,025,209
  5. Step 5: Solve for x
    x = 2,339,514,025,209/994,528
  6. Step 6: Final answer
    x = 2,352,386.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.