Finding the Third Proportional to 728,410 and 1,140,139
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Solution
The third proportional to 728,410 and 1,140,139 is: 1,784,595.13
Step by Step Solution
- Step 1: Write the proportion equation
728,410 : 1,140,139 = 1,140,139 : x - Step 2: Convert to fraction form
728,410/1,140,139 = 1,140,139/x - Step 3: Cross multiply
728,410x = 1,140,139 × 1,140,139 - Step 4: Simplify right side
728,410x = 1,299,916,939,321 - Step 5: Solve for x
x = 1,299,916,939,321/728,410 - Step 6: Final answer
x = 1,784,595.13
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.